k-th rekord values from Dagum distribution and characterization

Devendra Kumar

Discussiones Mathematicae Probability and Statistics (2016)

  • Volume: 36, Issue: 1-2, page 25-41
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Devendra Kumar. "k-th rekord values from Dagum distribution and characterization." Discussiones Mathematicae Probability and Statistics 36.1-2 (2016): 25-41. <http://eudml.org/doc/286865>.

@article{DevendraKumar2016,
abstract = {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.},
author = {Devendra Kumar},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {sample; order statistics; lower record values; single moments; product moments; recurrence relations; Dagum distribution; characterization},
language = {eng},
number = {1-2},
pages = {25-41},
title = {k-th rekord values from Dagum distribution and characterization},
url = {http://eudml.org/doc/286865},
volume = {36},
year = {2016},
}

TY - JOUR
AU - Devendra Kumar
TI - k-th rekord values from Dagum distribution and characterization
JO - Discussiones Mathematicae Probability and Statistics
PY - 2016
VL - 36
IS - 1-2
SP - 25
EP - 41
AB - 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.
LA - eng
KW - sample; order statistics; lower record values; single moments; product moments; recurrence relations; Dagum distribution; characterization
UR - http://eudml.org/doc/286865
ER -

References

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