On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions
American Journal of Theoretical and Applied Statistics
Volume 3, Issue 2, March 2014, Pages: 55-59
Received: Feb. 21, 2014; Accepted: Apr. 29, 2014; Published: Apr. 30, 2014
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Authors
Muhammad Daniyal, Department of Statistics, the Islamia University of Bahawalpur
Muhammad Aleem, Department of Statistics, the Islamia University of Bahawalpur
Tahir Nawaz, Department of Statistics, G.C University Faisalabad
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Abstract
Limited work has been conducted on the doubly truncation for the mixture of different distributions. This paper is concerned with the doubly truncated mixture of Burr XII and Weibull distributions. In this paper, classical properties of the doubly truncated mixture of Burr XII and Weibull distributions have been derived. Cumulative distribution function, hazard rate, failure rate, inverse hazard function, odd function and the cumulative hazard function, rth moment about origin, moment generating function characteristic function, moments about origin and mean, mean and variance, measure of skewness and kurtosis have been discussed.
Keywords
Doubly Truncation, Mixture, Weibull and Burr XII Distributions, Characteristic Function
To cite this article
Muhammad Daniyal, Muhammad Aleem, Tahir Nawaz, On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions, American Journal of Theoretical and Applied Statistics. Vol. 3, No. 2, 2014, pp. 55-59. doi: 10.11648/j.ajtas.20140302.15
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