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1

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On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process

100%

Szynal D.

Applicationes Mathematicae

|

1976-1977

|

tom 15

|

nr 3

277-288

2

On the limit behavior of a sequence of quantiles of a sample with a random number of items

88%

Szynal D.

Applicationes Mathematicae

|

1972-1973

|

tom 13

|

nr 3

321-327

3

Characterizations of power distributions via moments of order statistics and record values

64%

Grudzień Z., Szynal D.

Applicationes Mathematicae

|

1999

|

tom 26

|

nr 4

467-475

EN

Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.

4

On order statistics for random sample size having compound binomial and Poisson distributions

64%

Grudzień Z., Szynal D.

Applicationes Mathematicae

|

1980-1983

|

tom 17

|

nr 2

259-270

5

Relations for characteristic functions of k-th record values from generalized Pareto and inverse generalized Pareto distribution

64%

Malinowska I., Szynal D.

Applicationes Mathematicae

|

2009

|

tom 36

|

nr 2

157-168

EN

Relations for the marginal, joint, conditional characteristic functions of k-th upper and lower record values from generalized Pareto distribution and inverse generalized Pareto distribution are given.

6

On a family of bayesian estimators and predictors for a Gumbel model based on the kth lower records

64%

Malinowska I., Szynal D.

Applicationes Mathematicae

|

2004

|

tom 31

|

nr 1

107-115

EN

Bayesian estimation for the two parameters of a Gumbel distribution are obtained based on kth lower record values. Prediction, either point or interval, for future kth lower record values is also presented from a Bayesian view point. Some of the results of [4] can be obtained as special cases of our results (k=1).

7

Goodness-of-fit tests based on characterizations in terms of moments of order statistics

64%

Morris K., Szynal D.

Applicationes Mathematicae

|

2002

|

tom 29

|

nr 3

251-283

EN

Using characterization conditions of continuous distributions in terms of moments of order statistics given in [12], [23], [6] and [7] we present new goodness-of-fit techniques.

8

Tests derived from characterizations in terms of moments of record values

64%

Morris K., Szynal D.

Applicationes Mathematicae

|

2003

|

tom 30

|

nr 1

11-37

EN

We derive tests of fit from characterizations of continuous distributions via moments of the kth upper record values.

9

On classes of couples of characteristic furictions satisfying the condition of Dugué

64%

Szynal D., Wolińska A.

Commentationes Mathematicae

|

1983

|

tom 23

|

nr 2

EN

The article contains no abstract

10

Some remarks on the extension of a finite set of stochastic automata

63%

Janicki S., Szynal D.

Applicationes Mathematicae

|

1974-1975

|

tom 14

|

nr 4

549-564

11

Estimation of the parameters of Gumbel and Burr distributions in terms of kth record values

52%

Malinowska I., Pawlas P., Szynal D.

Applicationes Mathematicae

|

2005

|

tom 32

|

nr 4

375-393

EN

The minimum variance linear unbiased estimators (MVLUE), the best linear invariant estimators (BLIE) and the maximum likelihood estimators (MLE) based on m selected kth record values are presented for the parameters of the Gumbel and Burr distributions.

12

On the limit behaviour of sums of a random number of independent random variables

45%

Rychlik Z., Szynal D.

Colloquium Mathematicum

|

1973

|

tom 28

|

nr 1

147-159

13

On some conditions for the almost everywhere convergence of a class of integrable functions

45%

Duncan R., Szynal D.

Colloquium Mathematicum

|

1984

|

tom 48

|

nr 2

251-260

14

On the rate of convergence in the central limit theorem

38%

Rychlik Z., Szynal D.

Banach Center Publications

|

1979

|

tom 5

|

nr 1

221-229

15

Convergence rates for weighted sums of random variables with random indices

38%

Szynal D., Zapała A.

Colloquium Mathematicum

|

1977-1978

|

tom 38

|

nr 1

111-127

16

On domains of attraction of record value distributions

38%

Freudenberg W., Szynal D.

Colloquium Mathematicum

|

1977-1978

|

tom 38

|

nr 1

129-139

Ograniczanie wyników

On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process

On the limit behavior of a sequence of quantiles of a sample with a random number of items

Characterizations of power distributions via moments of order statistics and record values

On order statistics for random sample size having compound binomial and Poisson distributions

Relations for characteristic functions of k-th record values from generalized Pareto and inverse generalized Pareto distribution

On a family of bayesian estimators and predictors for a Gumbel model based on the kth lower records

Goodness-of-fit tests based on characterizations in terms of moments of order statistics

Tests derived from characterizations in terms of moments of record values

On classes of couples of characteristic furictions satisfying the condition of Dugué

Some remarks on the extension of a finite set of stochastic automata

Estimation of the parameters of Gumbel and Burr distributions in terms of kth record values

On the limit behaviour of sums of a random number of independent random variables

On some conditions for the almost everywhere convergence of a class of integrable functions

On the rate of convergence in the central limit theorem

Convergence rates for weighted sums of random variables with random indices

On domains of attraction of record value distributions