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1

Prabha Karna, Jaishree, and Dilip Chandra Nath. "Successive sampling strategy under non response." Journal of Applied Mathematics, Statistics and Informatics 11, no. 1 (May 1, 2015): 115–39. http://dx.doi.org/10.1515/jamsi-2015-0007.

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Abstract The present work is an attempt to study the effect of non-response at both occasions in search of good successive (rotation) sampling over two occasions. A chain-type ratio and regression estimator has been proposed for estimating the population mean at current occasion in presence of non-response at both the occasion in two-occasion successive (rotation) sampling. Detail behaviors of proposed estimators have been studied. Proposed estimators are compared with the estimators for the same situations but in the absence of non-response. Performances of the proposed estimators have been demonstrated via empirical studies.
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2

García luengo, A. V. "Ratio-cum-product estimation in presence of non-response in successive sampling." Journal of Applied Mathematics, Statistics and Informatics 12, no. 1 (May 1, 2016): 55–83. http://dx.doi.org/10.1515/jamsi-2016-0005.

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Abstract The problem of estimating the finite population mean on the samples selected over two occasions has been considered, when there is non-response (i) on both the occasions, (ii) only on the second occasion for both matched and unmatched portions of the sample, and (iii) only on the second occasion for unmatched portion of the sample. For the case when two auxiliary variables are positively and negatively correlated with the study variable, a double sampling ratio-cum-product estimate from the matched portion of the sample is presented. Expressions for optimum matching fraction and of the combined estimate have been derived. The gain in efficiency, the sample sizes and the cost function of the combined estimators over the direct estimate using no information gathered on the first occasion is computed. The comparison between the proposed strategy with other estimators is also carried out. An empirical study is also included for illustration.
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3

Fischer, Christoph, and Joachim Saborowski. "Estimating volume growth from successive double sampling for stratification." Canadian Journal of Forest Research 49, no. 9 (September 2019): 1052–59. http://dx.doi.org/10.1139/cjfr-2018-0520.

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Volume growth is a key indicator in forest management and planning and, accordingly, an integral part of the estimation procedure of forest resources from sample based inventories. Growth estimation from successive double sampling for stratification (2SS) is somewhat challenging and has not been sufficiently addressed in the pertinent literature. Applying 2SS on successive occasions, with updated stratification on each occasion, may lead to fluctuation of sampling units among the strata and to a certain number of sample plots that have to be discarded or that have to be newly established on the second occasion, to obtain the required per-strata sampling proportions, which are stipulated in advance. After presenting a notation to implement growth estimation into 2SS standard formulas, the question of strata shifts and the occurrence of discarded and of new sample plots in the context of growth estimation is addressed. Although growth, unlike net change, can only be estimated from direct observations on remeasured sample plots, it was shown that ignoring discarded or new plots might lead to severely biased estimators. Modified estimators for mean growth and variances are provided and their application is illustrated using data from a repeated survey in a central German forest district.
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4

Singh, G. N., and A. K. Singh. "An Efficient Estimation Procedure in Two-Occasion Successive Sampling." Journal of Statistical Theory and Applications 16, no. 1 (2017): 26. http://dx.doi.org/10.2991/jsta.2017.16.1.3.

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5

Singh, Housila P., and Surya K. Pal. "Estimation of population mean in two-occasion successive sampling." Communications in Statistics - Simulation and Computation 46, no. 6 (February 17, 2017): 4908–37. http://dx.doi.org/10.1080/03610918.2015.1137593.

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6

Pal, S. K., and H. P. Singh. "Use of power transformation for estimating the population mean in presence of non-response in successive sampling." Journal of Applied Mathematics, Statistics and Informatics 13, no. 2 (December 20, 2017): 109–40. http://dx.doi.org/10.1515/jamsi-2017-0012.

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Abstract This paper addresses the problem of estimating the population mean at the current occasion in two occasion successive sampling when non-response occurs on the current (second) occasions. Using the power transformation we have suggested classes of estimators of current population mean and their properties are studied. Optimum replacement strategies for the proposed estimators have been given and empirical studies are carried out to assess the performance of estimators. We have made suitable recommendation to the practitioners on the basis of the empirical study.
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7

Zoramthanga, R. "Estimation of current population mean using two-occasion successive sampling with one auxiliary variable." Science Vision 18, no. 2 (June 30, 2018): 74–77. http://dx.doi.org/10.33493/scivis.18.02.05.

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In this study, two-occasion successive sampling for ratio-to-regression estimator was used to determine the current estimate of the population mean using only the matched part and one auxiliary variable, which is available on both the occasions. The data used were based on the total number of female workers in villages in Mizoram with the total number of literate female in villages in Mizoram as an auxiliary variables. The data were gotten from Census of India 2001 and 2011. The optimum mean square error of the combined ratio-to-regression and ratio estimator has been compared with (i) the optimum mean square error of the chain-type ratio estimator (ii) mean per unit estimator and (iii) combined estimator when no auxiliary information is used at any occasion. This result showed that the combined ratio-to-regression and ratio estimator is more efficient than the other three existing estimators.
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8

Azam, M., S. Nawaz, A. Arshad, and M. Aslam. "Acceptance Sampling Plan Using Successive Sampling Over Two Successive Occasions." Journal of Testing and Evaluation 44, no. 5 (July 28, 2016): 20150468. http://dx.doi.org/10.1520/jte20150468.

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9

Singh, G. N., M. Khetan, and S. Maurya. "Estimation under non response when it occurs on both occasions in two-occasion successive sampling." Communications in Statistics - Theory and Methods 45, no. 13 (October 27, 2015): 3939–51. http://dx.doi.org/10.1080/03610926.2014.911913.

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10

Yu, Bo, Zongda Jin, Jiayong Tian, and Ge Gao. "Estimation of Sensitive Proportion by Randomized Response Data in Successive Sampling." Computational and Mathematical Methods in Medicine 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/172918.

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This paper considers the problem of estimation for binomial proportions of sensitive or stigmatizing attributes in the population of interest. Randomized response techniques are suggested for protecting the privacy of respondents and reducing the response bias while eliciting information on sensitive attributes. In many sensitive question surveys, the same population is often sampled repeatedly on each occasion. In this paper, we apply successive sampling scheme to improve the estimation of the sensitive proportion on current occasion.
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11

Priyanka, Kumari. "Tuning design weights to deal with non-response in successive sampling." Model Assisted Statistics and Applications 16, no. 2 (July 2, 2021): 97–108. http://dx.doi.org/10.3233/mas-210522.

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The estimation of finite population mean at current occasion in two occasion successive sampling in presence of non-response is investigated using tuned jackknife estimators. Based on the availability of auxiliary information at population level (Info U) and sample level (Info s) and using tuned jackknife technique, estimators have been proposed. Estimator of variance of proposed estimators have also been discussed. Different cases of occurance of non-response have been explored. The estimators are mutually compared. The properties of these estimators are studied via simulation study using natural population.
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12

Sharma, Anup Kumar, and Garib Nath Singh. "Estimation of Population Mean on Recent Occasion under Non-Response in h-Occasion Successive Sampling." Journal of Modern Applied Statistical Methods 15, no. 2 (November 1, 2016): 149–70. http://dx.doi.org/10.22237/jmasm/1478002200.

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13

Singh, G. N., D. Majhi, S. Prasad, and F. Homa. "Effective Rotation Patterns Under Non Response in Two-Occasion Successive Sampling." Communications in Statistics - Theory and Methods 44, no. 6 (April 22, 2013): 1182–95. http://dx.doi.org/10.1080/03610926.2012.762401.

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14

Bandyopadhyay, A., and G. N. Singh. "Estimation of ratio of population means in two-occasion successive sampling." Communications in Statistics - Theory and Methods 45, no. 14 (May 25, 2016): 4136–55. http://dx.doi.org/10.1080/03610926.2014.917185.

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15

Singh, G. N., and A. K. Singh. "An improved estimation procedure of population mean in two-occasion successive sampling." Communications in Statistics - Theory and Methods 45, no. 13 (November 7, 2015): 3930–38. http://dx.doi.org/10.1080/03610926.2014.911911.

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16

Singh, G. N., A. K. Singh, and Cem Kadilar. "Almost Unbiased Estimation Procedures of Population Mean in Two- Occasion Successive Sampling." Hacettepe Journal of Mathematics and Statistics 47, no. 2 (November 29, 2016): 1. http://dx.doi.org/10.15672/hjms.2016.391.

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17

Sharma, Prayas, Surya K. Pal, and Housila P. Singh. "Improved Estimators of Population Mean under Nonresponse in Successive Sampling." Mathematical Problems in Engineering 2022 (October 4, 2022): 1–8. http://dx.doi.org/10.1155/2022/1349689.

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It is well accepted that suitable additional information improves the efficiency of an estimator but at the same time, it faced the situation of nonresponse. The two-occasion successive sampling is useful to handle the absence of a full response from respondents. In this present study, we have developed exponential estimators for population mean using a subsampling nonrespondent procedure. To show the efficacy of the recommended estimators, several properties are derived, and respective optimum replacement strategies are inferred. To evaluate the performance of the recommended estimators empirically, a computational study is carried out as well. It was found that the recommended estimators outperform the existing ones under the nonresponse in successive sampling.
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18

Arshad, Asma, Muhammad Azam, and Muhammad Aslam. "A successive sampling control chart using multiple dependent state sampling over two successive occasions." Quality and Reliability Engineering International 36, no. 2 (December 2019): 577–91. http://dx.doi.org/10.1002/qre.2592.

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19

Pal, Surya Kant, and Housila Prasad Singh. "A Modified Procedure for Estimating the Population Mean in Two-Occasion Successive Sampling." Afrika Statistika 12, no. 3 (August 1, 2017): 1347–65. http://dx.doi.org/10.16929/as/2017.1347.108.

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20

Singh, G. N., M. Khetan, and S. Maurya. "Assessment of Exponential Methods of Estimation Under Nonresponse in Two-Occasion Successive Sampling." Journal of Statistical Theory and Practice 9, no. 3 (July 28, 2014): 506–23. http://dx.doi.org/10.1080/15598608.2014.938377.

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21

Tarray, Tanveer Ahmad, Zahoor Ahmad Ganie, and Baziga Youssuf. "An Improved Mathematical Model Applying Practicable Algorithms." Journal of Applied Science, Engineering, Technology, and Education 1, no. 2 (June 7, 2020): 114–18. http://dx.doi.org/10.35877/454ri.asci1245.

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In this article, we have considered the problem of estimation of population variance on two occasion successive sampling. A class of estimators of population variance has been proposed and its asymptotic properties have been discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Numerical illustrations are also given in support of the present study.
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22

Singh, G. N., D. Majhi, S. Prasad, and F. Homa. "Assessment of Non-Response under Ratio Method of Imputation in Two-Occasion Successive Sampling." Journal of Statistical Theory and Applications 12, no. 4 (2013): 403. http://dx.doi.org/10.2991/jsta.2013.12.4.7.

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23

Singh, Garib Nath, Alok Kumar Singh, and Anup Kumar Sharma. "An Improved Generalized Estimation Procedure of Current Population Mean in Two-Occasion Successive Sampling." Journal of Modern Applied Statistical Methods 15, no. 2 (November 1, 2016): 187–206. http://dx.doi.org/10.22237/jmasm/1478002320.

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24

Singh, G. N., D. Majhi, S. Maurya, and A. K. Sharma. "Some Effective Rotation Patterns in Estimation of Population Mean in Two-Occasion Successive Sampling." Communications in Statistics - Theory and Methods 44, no. 12 (December 2, 2013): 2571–85. http://dx.doi.org/10.1080/03610926.2013.785000.

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25

Singh, G. N., S. Maurya, and M. Khetan. "Some effective combinations of available information under non response in two-occasion successive sampling." Communications in Statistics - Theory and Methods 46, no. 1 (September 30, 2016): 280–95. http://dx.doi.org/10.1080/03610926.2014.990105.

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26

Maji, Reba, G. N. Singh, Arnab Bandyopadhyay, and Partha Mukhopadhyay. "Hunt for efficient variance estimation strategy in two-occasion successive sampling using fuzzy tools." Journal of Information and Optimization Sciences 39, no. 5 (May 15, 2018): 1163–86. http://dx.doi.org/10.1080/02522667.2017.1317961.

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27

Sisodia, B. V. S. "A Note on Successive Sampling Over Two Occasions." Biometrical Journal 27, no. 1 (1985): 97–100. http://dx.doi.org/10.1002/bimj.4710270114.

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28

Singh, G. N., A. K. Sharma, and A. K. Singh. "Estimation of population mean on the most recent occasion under non response in h-occasion successive sampling using several auxiliary variables." Communications in Statistics - Theory and Methods 47, no. 4 (January 2, 2018): 839–61. http://dx.doi.org/10.1080/03610926.2016.1236957.

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29

Fischer, Christoph, and Joachim Saborowski. "Variance estimation for mean growth from successive double sampling for stratification." Canadian Journal of Forest Research 50, no. 12 (December 2020): 1405–11. http://dx.doi.org/10.1139/cjfr-2020-0058.

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Double sampling for stratification (2SS) is a sampling design that is widely used for forest inventories. We present the mathematical derivation of two appropriate variance estimators for mean growth from repeated 2SS with updated stratification on each measurement occasion. Both estimators account for substratification based on the transition of sampling units among the strata due to the updated allocation. For the first estimator, sizes of the substrata were estimated from the second-phase sample (sample plots), whereas the respective sizes in the second variance estimator relied on the larger first-phase sample. The estimators were empirically compared with a modified version of Cochran’s well-known 2SS variance estimator that ignores substratification. This was done by performing bootstrap resampling on data from two German forest districts. The major findings were as follows: (i) accounting for substratification, as implemented in both new estimators, has substantial impact in terms of significantly smaller variance estimates and bias compared with the estimator without substratification, and (ii) the second estimator with substrata sizes being estimated from the first-phase sample shows a smaller bias than the first estimator.
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30

Singh, G. N., C. Singh, A. K. Pandey, and S. Suman. "An Improved Exponential Method of Estimation for Current Population Mean in Two-Occasion Successive Sampling." Journal of Statistics Applications & Probability 6, no. 3 (November 1, 2017): 587–95. http://dx.doi.org/10.18576/jsap/060314.

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31

Singh, G. N., and Kumari Priyanka. "Estimation of population mean at current occasion in successive sampling under a super-population model." Model Assisted Statistics and Applications 2, no. 4 (January 11, 2008): 189–200. http://dx.doi.org/10.3233/mas-2007-2402.

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32

Singh, Housila P., and Surya K. Pal. "Search of good rotation patterns using exponential method of estimation in two-occasion successive sampling." Communications in Statistics - Theory and Methods 46, no. 11 (June 7, 2016): 5466–86. http://dx.doi.org/10.1080/03610926.2015.1104351.

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33

Singh, G. N., A. K. Sharma, and A. Bandyopadhyay. "Effectual variance estimation strategy in two-occasion successive sampling in presence of random non response." Communications in Statistics - Theory and Methods 46, no. 14 (April 25, 2017): 7201–24. http://dx.doi.org/10.1080/03610926.2016.1146769.

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34

Singh, G. N., M. Khetan, and S. Maurya. "Some Estimation Procedures Under Non-response Using Super Population Model in Two-Occasion Successive Sampling." Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 87, no. 3 (May 22, 2017): 373–84. http://dx.doi.org/10.1007/s40010-017-0368-3.

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35

Garcia Luengo, Amelia Victoria, Usman Shahzad, Nursel Koyuncu, and Hanif Muhammad. "Improvement estimation on two successive occasions in cluster sampling." Pakistan Journal of Statistics and Operation Research 15, no. 4 (December 7, 2019): 1037. http://dx.doi.org/10.18187/pjsor.v15i4.1600.

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36

Biradar, R. S., and H. P. Singh. "Successive Sampling Using Auxiliary Information on Both the Occasions." Calcutta Statistical Association Bulletin 51, no. 3-4 (September 2001): 243–52. http://dx.doi.org/10.1177/0008068320010307.

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37

Singh, G. N., and F. Homa. "Effective Rotation Patterns in Successive Sampling Over Two Occasions." Journal of Statistical Theory and Practice 7, no. 1 (January 2013): 146–55. http://dx.doi.org/10.1080/15598608.2012.755484.

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38

Beevi, Nazeema. "Dual to Ratio Estimators for Mean Estimation in Successive Sampling using Auxiliary Information on Two Occasion." Journal of Statistics Applications & Probability 7, no. 1 (March 1, 2018): 49–58. http://dx.doi.org/10.18576/jsap/070105.

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39

Singh, Garib Nath, and Mohd Khalid. "Some imputation methods to compensate with non-response for estimation of population mean in two-occasion successive sampling." Communications in Statistics - Theory and Methods 49, no. 14 (April 3, 2019): 3329–51. http://dx.doi.org/10.1080/03610926.2019.1586945.

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40

Singh, Housila P., and Surya K. Pal. "An efficient effective rotation pattern in successive sampling over two occasions." Communications in Statistics - Theory and Methods 45, no. 17 (July 5, 2016): 5017–27. http://dx.doi.org/10.1080/03610926.2014.935431.

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41

Brint, A. T. "Sampling on successive occasions to re-estimate future asset management expenditure." European Journal of Operational Research 175, no. 2 (December 2006): 1210–23. http://dx.doi.org/10.1016/j.ejor.2005.06.031.

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42

Priyanka, Kumari, Richa Mittal, and Jong-Min Kim. "Multivariate Rotation Design for Population Mean in Sampling on Successive Occasions." Communications for Statistical Applications and Methods 22, no. 5 (September 30, 2015): 445–62. http://dx.doi.org/10.5351/csam.2015.22.5.445.

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43

Singh, G. N., M. Khetan, and S. Maurya. "On the use of multi-auxiliary variables to neutralize the effect of non response in two-occasion successive sampling." Communications in Statistics - Theory and Methods 46, no. 7 (April 25, 2016): 3501–19. http://dx.doi.org/10.1080/03610926.2015.1065331.

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44

Singh, GN, JP Karna, and S. Prasad. "On the Use of Multiple Auxiliary Variables in Estimation of Current Population Mean in Two-Occasion Successive (Rotation) Sampling." Sri Lankan Journal of Applied Statistics 12 (December 2, 2012): 101. http://dx.doi.org/10.4038/sljastats.v12i0.4970.

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45

Naeem, Noreen, and Javid Shabbir. "Use of Scrambled Responses on Two Occasions Successive Sampling under Non-Response." Hacettepe Journal of Mathematics and Statistics 46, no. 139 (July 30, 2016): 1. http://dx.doi.org/10.15672/hjms.201613920220.

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46

Singh, G. N., M. Khetan, and S. Maurya. "Use of multiauxiliary variables to cope with non response in estimation of current population mean in two-occasion successive sampling." Communications in Statistics - Theory and Methods 45, no. 16 (December 8, 2015): 4840–57. http://dx.doi.org/10.1080/03610926.2014.930914.

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47

Aldosari, Mansour Sattam, Muhammad Aslam, Chi-Hyuck Jun, and Khushnoor Khan. "A New Control Chart for Monitoring the Process Mean Using Successive Sampling and Multiple Dependent State Repetitive Sampling." Technologies 6, no. 3 (July 30, 2018): 70. http://dx.doi.org/10.3390/technologies6030070.

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In this paper, a new control chart scheme has been developed for monitoring the production process mean using successive sampling over two occasions. The proposed chart reduces to three different existing control charts under different assumptions and is compared with these three existing control charts for monitoring the process average. It has been observed that the proposed control chart performs better than the other existing control charts in terms of average run length (ARL). A simulation study using an artificial data set was included for demonstrating the process shift detection power of the proposed control chart.
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48

Singh, Housila P., and Surya K. Pal. "A Review of Chain-Type Estimators and a New Chain-Type Multivariate Regression Approach for Population Mean Under Two-Occasion Successive Sampling." Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 87, no. 1 (November 12, 2016): 31–56. http://dx.doi.org/10.1007/s40010-016-0313-x.

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49

Azam, Muhammad, Asma Arshad, Muhammad Aslam, and Chi-Hyuck Jun. "A Control Chart for Monitoring the Process Mean Using Successive Sampling Over Two Occasions." Arabian Journal for Science and Engineering 42, no. 7 (December 24, 2016): 2915–26. http://dx.doi.org/10.1007/s13369-016-2376-z.

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50

FONG, WAI-KWNA. "A Bayesian approach to successive sampling with partial replacement of units on two occasions." Biometrika 77, no. 2 (1990): 383–88. http://dx.doi.org/10.1093/biomet/77.2.383.

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