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Compound Poisson approximation for extremes of moving minima in arrays of independent random variables

100%

Dudkiewicz J.

Applicationes Mathematicae

1998-1999

tom 25

nr 1

19-28

We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.

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Approximation by Poisson law

88%

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.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Discussiones Mathematicae Probability and Statistics

1 Aleškevičienė A.

1 Dudkiewicz J.

1 Statulevičius V.

1 2005

1 1998

Wyniki wyszukiwania

Compound Poisson approximation for extremes of moving minima in arrays of independent random variables

Approximation by Poisson law