Journal articles on the topic 'Random variables'

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1

Jovanovic Dolecek, Gordana. "Teaching Random Variables." U.Porto Journal of Engineering 7, no. 1 (February 19, 2021): 10–15. http://dx.doi.org/10.24840/2183-6493_007.001_0003.

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This paper presents demo program for teaching random variables dedicated to demonstration and visualization of behaviour of the product of m independent uniform random variables. The demo is used as a complementary tool in the teaching Random signals and processes curriculum at the graduate level. The demo is made in MATLAB and utilizes all benefits provided by MATLAB, such as simplicity, and good graphic environment, interactive use, among others. Additionally, this demo is used with other demo programs, also made in MATLAB, in teaching/learning process of random variables. Students were very satisfied with this demo program expressing that helped them understanding better the behaviour of the product of uniform random variables.
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2

FLETCHER, M. E. "Introducing Random Variables." Teaching Mathematics and its Applications 5, no. 4 (January 1, 1986): 191–92. http://dx.doi.org/10.1093/teamat/5.4.191.

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3

Assani, I. "distributed random variables." Duke Mathematical Journal 88, no. 2 (June 1997): 217–46. http://dx.doi.org/10.1215/s0012-7094-97-08808-6.

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4

Peköz, Erol, and Sheldon M. Ross. "COMPOUND RANDOM VARIABLES." Probability in the Engineering and Informational Sciences 18, no. 4 (October 2004): 473–84. http://dx.doi.org/10.1017/s0269964804184039.

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We give a probabilistic proof of an identity concerning the expectation of an arbitrary function of a compound random variable and then use this identity to obtain recursive formulas for the probability mass function of compound random variables when the compounding distribution is Poisson, binomial, negative binomial random, hypergeometric, logarithmic, or negative hypergeometric. We then show how to use simulation to efficiently estimate both the probability that a positive compound random variable is greater than a specified constant and the expected amount by which it exceeds that constant.
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5

Nadarajah, Saralees, Emmanuel Afuecheta, and Stephen Chan. "Ordered random variables." OPSEARCH 56, no. 1 (January 30, 2019): 344–66. http://dx.doi.org/10.1007/s12597-019-00355-6.

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6

Shapiro, Arnold F. "Fuzzy random variables." Insurance: Mathematics and Economics 44, no. 2 (April 2009): 307–14. http://dx.doi.org/10.1016/j.insmatheco.2008.05.008.

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7

Gil, M. "Fuzzy random variables." Information Sciences 133, no. 1-2 (March 2001): 1–2. http://dx.doi.org/10.1016/s0020-0255(01)00072-x.

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8

Hathaway, Richard J. "Clustering Random Variables." IETE Journal of Research 44, no. 4-5 (July 1998): 199–205. http://dx.doi.org/10.1080/03772063.1998.11416046.

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9

Good, P. "Exchangeable random variables." Bioinformatics 26, no. 17 (August 17, 2010): 2214. http://dx.doi.org/10.1093/bioinformatics/btq297.

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10

Puri, Madan L., and Dan A. Ralescu. "Fuzzy random variables." Journal of Mathematical Analysis and Applications 114, no. 2 (March 1986): 409–22. http://dx.doi.org/10.1016/0022-247x(86)90093-4.

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11

Miranda, Enrique, Inés Couso, and Pedro Gil. "Random sets as imprecise random variables." Journal of Mathematical Analysis and Applications 307, no. 1 (July 2005): 32–47. http://dx.doi.org/10.1016/j.jmaa.2004.10.022.

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12

Il'inskii, Alexander, and Sofiya Ostrovska. "On Lin's Condition for Products of Random Variables." Zurnal matematiceskoj fiziki, analiza, geometrii 15, no. 1 (March 25, 2019): 79–85. http://dx.doi.org/10.15407/mag15.01.079.

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13

Hui, Stefen, and C. J. Park. "The Representation of Hypergeometric Random Variables using Independent Bernoulli Random Variables." Communications in Statistics - Theory and Methods 43, no. 19 (December 9, 2013): 4103–8. http://dx.doi.org/10.1080/03610926.2012.705941.

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14

Sugiman, Ikuo. "A random CLT for dependent random variables." Journal of Multivariate Analysis 20, no. 2 (December 1986): 321–26. http://dx.doi.org/10.1016/0047-259x(86)90086-2.

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15

CHEN, JianBing, ZhiQiang WAN, and PengYan SONG. "Random function model for dependent random variables." SCIENTIA SINICA Physica, Mechanica & Astronomica 48, no. 1 (September 3, 2017): 014609. http://dx.doi.org/10.1360/sspma2017-00107.

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16

Andrea, Montanari. "Estimating random variables from random sparse observations." European Transactions on Telecommunications 19, no. 4 (2008): 385–403. http://dx.doi.org/10.1002/ett.1289.

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17

Hershkorn, Stephen J., and Robin J. Chapman. "Symmetric Random Variables: 10461." American Mathematical Monthly 105, no. 7 (August 1998): 670. http://dx.doi.org/10.2307/2589265.

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18

Garreau, G. A., and G. P. Beaumont. "Probability and Random Variables." Mathematical Gazette 71, no. 456 (June 1987): 165. http://dx.doi.org/10.2307/3616526.

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19

Khurshid, Anwer, Zuhair A. Al-Hemari, and Shahid Kamal. "On Complex Random Variables." Pakistan Journal of Statistics and Operation Research 8, no. 3 (July 1, 2012): 645. http://dx.doi.org/10.18187/pjsor.v8i3.534.

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20

Burke, Matthew M. "Random variables in Forth." ACM SIGFORTH Newsletter 3, no. 3 (December 1991): 21–24. http://dx.doi.org/10.1145/126517.126521.

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21

Vakhania, N. N., and G. Z. Chelidze. "Quaternion Gaussian Random Variables." Theory of Probability & Its Applications 54, no. 2 (January 2010): 363–69. http://dx.doi.org/10.1137/s0040585x97984176.

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22

Thompson, Peter. "Almost-Binomial Random Variables." College Mathematics Journal 33, no. 3 (May 2002): 235. http://dx.doi.org/10.2307/1559038.

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23

Kinney, John J., and James L. Kepner. "Generalised Geometric Random Variables." Teaching Statistics 17, no. 1 (March 1995): 7–9. http://dx.doi.org/10.1111/j.1467-9639.1995.tb00705.x.

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24

Müller, Norbert Th. "Computability on random variables." Theoretical Computer Science 219, no. 1-2 (May 1999): 287–99. http://dx.doi.org/10.1016/s0304-3975(98)00292-8.

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25

Feng, Yuhu. "Gaussian fuzzy random variables." Fuzzy Sets and Systems 111, no. 3 (May 2000): 325–30. http://dx.doi.org/10.1016/s0165-0114(98)00033-5.

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26

Devroye, Luc. "Simulating Bessel random variables." Statistics & Probability Letters 57, no. 3 (April 2002): 249–57. http://dx.doi.org/10.1016/s0167-7152(02)00055-x.

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27

Christoph, Gerd, and Karina Schreiber. "Discrete stable random variables." Statistics & Probability Letters 37, no. 3 (March 1998): 243–47. http://dx.doi.org/10.1016/s0167-7152(97)00123-5.

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28

Gao, Rong, Zhiqiang Zhang, Hamed Ahmadazde, and Dan A. Ralescu. "Complex uncertain random variables." Soft Computing 22, no. 17 (July 15, 2017): 5817–24. http://dx.doi.org/10.1007/s00500-017-2717-1.

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29

Sparks, T., and G. P. Beaumont. "Probability and Random Variables." Statistician 36, no. 4 (1987): 419. http://dx.doi.org/10.2307/2348848.

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30

Spurrier, John D., and G. P. Beaumont. "Probability and Random Variables." Journal of the American Statistical Association 82, no. 399 (September 1987): 947. http://dx.doi.org/10.2307/2288812.

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31

Salt, D. W., and G. P. Beaumont. "Probability and Random Variables." Journal of the Royal Statistical Society. Series A (Statistics in Society) 151, no. 1 (1988): 222. http://dx.doi.org/10.2307/2982194.

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32

Fortet, R. "Probability and Random Variables." European Journal of Operational Research 29, no. 1 (April 1987): 115. http://dx.doi.org/10.1016/0377-2217(87)90203-7.

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33

Lenczewski, Romuald. "Matricially free random variables." Journal of Functional Analysis 258, no. 12 (June 2010): 4075–121. http://dx.doi.org/10.1016/j.jfa.2010.03.010.

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34

Berger, Erich. "Comparing sums of independent bounded random variables and sums of Bernoulli random variables." Statistics & Probability Letters 34, no. 3 (June 1997): 251–58. http://dx.doi.org/10.1016/s0167-7152(96)00188-5.

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35

Jimbo, Shuji, and Akira Maruoka. "On the relationship between ε-biased random variables and ε-dependent random variables." Information Processing Letters 51, no. 1 (July 1994): 17–23. http://dx.doi.org/10.1016/0020-0190(94)00061-1.

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36

Kruglov, V. M. "Weak Compactness of Random Sumsof Independent Random Variables." Theory of Probability & Its Applications 43, no. 2 (January 1999): 203–20. http://dx.doi.org/10.1137/s0040585x97976830.

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37

Sudakov, V. N. "On distributions of random variables chosen at random." Journal of Mathematical Sciences 88, no. 1 (January 1998): 106–9. http://dx.doi.org/10.1007/bf02363269.

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38

Wu, Yongfeng, and JiangYan Peng. "Strong convergence for weighted sums of ρ*-mixing random variables." Glasnik Matematicki 49, no. 1 (June 8, 2014): 221–34. http://dx.doi.org/10.3336/gm.49.1.15.

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39

Wu, Yongfeng, and Andrew Rosalsky. "Strong convergence for m-pairwise negatively quadrant dependent random variables." Glasnik Matematicki 50, no. 1 (June 22, 2015): 245–59. http://dx.doi.org/10.3336/gm.50.1.15.

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40

Kagan, Abram, Colin L. Mallows, Larry A. Shepp, Robert J. Vanderbei, and Yehuda Vardi. "Symmetrization of Binary Random Variables." Bernoulli 5, no. 6 (December 1999): 1013. http://dx.doi.org/10.2307/3318557.

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41

Wolff, Paweł. "Hypercontractivity of simple random variables." Studia Mathematica 180, no. 3 (2007): 219–36. http://dx.doi.org/10.4064/sm180-3-3.

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42

Móri, T. F., and G. J. Székely. "Representations by uncorrelated random variables." Mathematical Methods of Statistics 26, no. 2 (April 2017): 149–53. http://dx.doi.org/10.3103/s1066530717020041.

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43

Hou, Yongchao, and Weicai Peng. "DISTANCE BETWEEN UNCERTAIN RANDOM VARIABLES." Mathematical Modelling of Engineering Problems 1, no. 1 (September 30, 2014): 15–20. http://dx.doi.org/10.18280/mmep.010104.

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44

Gerasimov, M., V. Kruglov, and A. Volodin. "On negatively associated random variables." Lobachevskii Journal of Mathematics 33, no. 1 (January 2012): 47–55. http://dx.doi.org/10.1134/s1995080212010052.

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45

Rockower, Edward B. "Integral Identities for Random Variables." American Statistician 42, no. 1 (February 1988): 68. http://dx.doi.org/10.2307/2685265.

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46

Nica, Alexandru, and Roland Speicher. "Commutators of free random variables." Duke Mathematical Journal 92, no. 3 (April 1998): 553–92. http://dx.doi.org/10.1215/s0012-7094-98-09216-x.

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47

Kachapova, Farida, and Ilias Kachapov. "Students’ misconceptions about random variables." International Journal of Mathematical Education in Science and Technology 43, no. 7 (October 15, 2012): 963–71. http://dx.doi.org/10.1080/0020739x.2011.644332.

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48

Schwartz, Mark. "Summing subsequences of random variables." Rocky Mountain Journal of Mathematics 17, no. 1 (March 1987): 115–20. http://dx.doi.org/10.1216/rmj-1987-17-1-115.

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49

Hazarika, B., and S. A. Mohiuddine. "Ideal Convergence of Random Variables." Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/148249.

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The aim of this paper is to introduce and study the notion ofI-convergence of random variables via probabilistic norms. Furthermore, we introduceI-convergence inLpspace and establish some interesting results.
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50

Zelenov, E. I. "p-Adic Gaussian Random Variables." Proceedings of the Steklov Institute of Mathematics 306, no. 1 (September 2019): 120–26. http://dx.doi.org/10.1134/s0081543819050110.

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