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1
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Characterizations of power distributions via moments of order statistics and record values

100%
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.
2
Content available remote

Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed

75%
Grudzień Z., Szynal D.
Applicationes Mathematicae
|
1996-1997
|
tom 24
|
nr 3
307-314
EN
We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.
3
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Characterizations of the inverse Weibull distribution and generalized extreme value distributions by moments of kth record values

75%
Pawlas P., Szynal D.
Applicationes Mathematicae
|
2000
|
tom 27
|
nr 2
197-202
EN
We give characterization conditions for the inverse Weibull distribution and generalized extreme value distributions by moments of kth record values.
4
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Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations

75%
Pawlas P., Szynal D.
Discussiones Mathematicae Probability and Statistics
|
2000
|
tom 20
|
nr 2
223-231
EN
We give recurrence relations for single and product moments of k-th lower record values from the inverse Pareto, inverse generalized Pareto and inverse Burr distributions. We present also characterization conditions for these distributions.
5
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Estimators of g-monotone dependence functions

75%
Krajka A.
Applicationes Mathematicae
|
1998-1999
|
tom 25
|
nr 3
253-269
EN
The notion of g-monotone dependence function introduced in [4] generalizes the notions of the monotone dependence function and the quantile monotone dependence function defined in [2], [3] and [6]. In this paper we study the asymptotic behaviour of sample g-monotone dependence functions and their strong properties.
6
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k-th rekord values from Dagum distribution and characterization

63%
Kumar D.
Discussiones Mathematicae Probability and Statistics
|
2016
|
tom 36
|
nr 1-2
25-41
EN
In this study, we gave some new explicit expressions and recurrence relations satisfied by single and product moments of k-th lower record values from Dagum distribution. Next we show that the result for the record values from the Dagum distribution can be derived from our result as special case. Further, using a recurrence relation for single moments and conditional expectation of record values we obtain characterization of Dagum distribution. In addition, we use the established explicit expression of single moment to compute the mean, variance, coefficient of skewness and coefficient of kurtosis. Finally, we suggest two applications.
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