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Relevant bibliographies by topics / Conditionally independent random variables

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Academic literature on the topic 'Conditionally independent random variables'

Author: Grafiati

Published: 1 June 2024

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Books on the topic "Conditionally independent random variables"

1

Braverman, Michael Sh. Independent random variables and rearrangement invariant spaces. Cambridge University Press, 1994.

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2

M, Lee Lawrence, Nicol David, and United States. National Aeronautics and Space Administration., eds. On the minimum of independent geometrically distributed random variables. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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3

Arak, T. V. Uniform limit theorems for sums of independent random variables. American Mathematical Society, 1988.

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4

Petrov, V. V. Limit theorems of probability theory: Sequences of independent random variables. Clarendon Press, 1995.

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5

Meerschaert, Mark M. Limit Distributions for Sums of Independent Random Vectors: Heavy Tails in Theory and Practice. John Wiley & Sons, 2001.

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6

Random walk and the heat equation. American Mathematical Society, 2010.

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7

Lemeshko, Boris, and Irina Veretel'nikova. Criteria for testing hypotheses about randomness and the absence of a trend. Application Guide. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1587437.

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Abstract:

The monograph discusses the application of statistical criteria aimed at testing hypotheses about the absence of a trend in the analyzed samples. The rejection of such a hypothesis gives grounds to consider the analyzed data as samples of independent equally distributed random variables. We consider a set of special criteria aimed at testing such hypotheses, as well as a set of criteria for the uniformity of laws, the uniformity of averages and the uniformity of variances, which can also be used for these purposes. The disadvantages and advantages of various criteria are emphasized, the application of criteria in conditions of violation of standard assumptions is considered. Estimates of the power of the criteria are given, which allows you to navigate when choosing the most preferred criteria. Following the recommendations will ensure the correctness and increase the validity of statistical conclusions when analyzing data. It is intended for specialists who are interested in the application of statistical methods for the analysis of various aspects and trends of the surrounding reality and who are in contact with the processing of experimental results, the need for data analysis in their activities. It will be useful for engineers, researchers, specialists of various profiles (doctors, biologists, sociologists, economists, etc.) who face the need for statistical analysis of experimental results in their activities. It will also be useful for university teachers, graduate students and students.

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8

Schurz, Henri, Philip J. Feinsilver, Gregory Budzban, and Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Edited by Mohammed Salah-Eldin 1946- and Mukherjea Arunava 1941-. American Mathematical Society, 2016.

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9

Brown, A. A., and V. V. Petrov. Sums of Independent Random Variables. de Gruyter GmbH, Walter, 2022.

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10

Brown, A. A., and V. V. Petrov. Sums of Independent Random Variables. Springer, 2011.

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