Some More Results on Characterization of the Exponential and Related Distributions-Reference-Cited by-同舟云学术

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Some More Results on Characterization of the Exponential and Related Distributions

Published:2023-06-29 Issue:3 Volume:6 Page:740-746
ISSN:2571-905X
Container-title:Stats
language:en
Short-container-title:Stats

Author:

Klebanov Lev B.¹

Affiliation:

1. Department of Probability and Mathematical Statistics, Charles University, 18675 Prague, Czech Republic

Abstract

There are given characterizations of the exponential distribution based on the properties of independence of linear forms with random coefficients. Results based on the constancy of regression of one statistic in a linear form are obtained. Related characterizations based on the property of the identical distribution of statistics are also provided.

Publisher

MDPI AG

Subject

Statistics and Probability

Link

https://www.mdpi.com/2571-905X/6/3/47/pdf

Reference16 articles.

1. On independent samples from a normal population;Zinger;Uspekhi Matem. Nauk,1951

2. On a class of differential equations and its applications to some problems of regression theory;Zinger;Vestnik Leningrad. Univ.,1957

3. Zinger, A.A. (1969). Investigations into Analytical Statistics and Their Applications to Limit Theorems of Probability Theory. [Ph.D. Thesis, Leningrad University].

4. Non-linear statistics and random linear forms;Zinger;Trudy Matem. Inst. Steklov. AN SSSR,1970

5. Independence of quasi-polynomial statistics and analytical properties of distributions;Zinger;Teoriia Veroiatn. Prim.,1958

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