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Approximation by Poisson law

100%

Aleškevičienė A., Statulevičius V.

Discussiones Mathematicae Probability and Statistics

2005

tom 25

nr 2

161-179

We present here the results of the investigation on approximation by the Poisson law of distributions of sums of random variables in the scheme of series. We give the results pertaining to the behaviour of large deviation probabilities and asymptotic expansions, to the method of cumulants, with the aid of which our results have been obtained.

Characterizations of distributions by moments of order statistics when the sample size is random

72%

Grudzień Z., Szynal D.

Applicationes Mathematicae

1995-1996

tom 23

nr 3

305-318

We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Discussiones Mathematicae Probability and Statistics

1 Aleškevičienė A.

1 Grudzień Z.

1 Statulevičius V.

1 Szynal D.

1 2005

1 1995

Wyniki wyszukiwania

Approximation by Poisson law

Characterizations of distributions by moments of order statistics when the sample size is random