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Introduction to the Problem of Truncated Power Series Distributions

100%

Gerstenkorn T., Faculty of Mathematics; Professor of the Toruń Academy of Social and Medial Culture

Acta Universitatis Lodziensis. Folia Oeconomica

2009

vol. 228

W pracy zostaje podany rozkład uciętej zmiennej losowej klasy typu szeregu potęgowego (PSD). Z klasy tego typu można otrzymać ważne rozkłady prawdopodobieństwa jako szczególne przypadki. Rozważania tu podane dotyczą przypadku, gdy ucięcie jest dokonywane w dowolnym punkcie с, a w szczególnym przypadku, gdy с = 0. Ten przypadek był już rozpatrywany w pracy W. Dyczki (1974).

In the paper there has been characterized a distribution of a truncated random variable of the class of power series distributions (abbrev.: PSD). From this class one can obtain some important distributions as special cases. The considerations relate to the case when the truncation is made at an arbitrary point с and to the special case when с = 0. In this special case one obtain formulae which are identical with those given in paper by W. Dyczka (1974).

The odd power generalized Weibull-G power series class of distributions: properties and applications

88%

Oluyede B., Moakofi T., Chipepa F.

Statistics in Transition new series

2022

vol. 23

issue 1

89-108

We develop a new class of distributions, namely, the odd power generalizedWeibull-G power series (OPGW-GPS) class of distributions. We present some special classes of the proposed distribution. Structural properties, have also been derived. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Moreover, two real data examples on selected data sets, to illustrate the usefulness of the new class of distributions. The proposed model outperforms several non-nested models on selected data sets.

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1 Acta Universitatis Lodziensis. Folia Oeconomica

1 Statistics in Transition new series

1 Chipepa F.

1 Faculty of Mathematics; Professor of the Toruń Academy of Social and Medial Culture

1 Gerstenkorn T.

1 Moakofi T.

1 Oluyede B.

1 2022

1 2009

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Introduction to the Problem of Truncated Power Series Distributions

The odd power generalized Weibull-G power series class of distributions: properties and applications