Mathematics and Statistics Vol. 3(6), pp. 146 - 150
DOI: 10.13189/ms.2015.030602
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Characterization of Power Function Distribution through Expectation of Function of Order Statistics

Bhatt Milind B. ^*
Department of Statistics, Sardar Patel University, Vallabh Vidyanagar-388120, Dist : Anand, State : Gujarat, India

ABSTRACT

Independence of suitable function of order statistics, linear relation of conditional expectation, recurrence relations between expectations of function of order statistics, distributional properties of exponential distribution, record valves, lower record statistics, product of order statistics and Lorenz curve etc.. are various approaches available in the literature for the characterization of the power function distribution. In this research note different path breaking approach for the characterization of power function distribution through the expectation of function of order statistics is given and provides a method to characterize the power function distribution which needs any arbitrary non constant function only.

KEYWORDS
Characterization, Power Function Distribution, Probability Density Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Bhatt Milind B. , "Characterization of Power Function Distribution through Expectation of Function of Order Statistics," Mathematics and Statistics, Vol. 3, No. 6, pp. 146 - 150, 2015. DOI: 10.13189/ms.2015.030602.

(b). APA Format:
Bhatt Milind B. (2015). Characterization of Power Function Distribution through Expectation of Function of Order Statistics. Mathematics and Statistics, 3(6), 146 - 150. DOI: 10.13189/ms.2015.030602.