Abstract

Flexible Weibull Distribution

Zubair Ahmad1 and Zawar Hussain2

1Research Scholar, 2Assistant Professor, Department of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, PAKISTAN.

ABSTRACT

In the present article, a new function is used to introduce a new lifetime model. The new model is introduced by considering a linear system of the two logarithms of cumulative hazard functions. The new model may be named as flexible Weibull distribution, capable of modeling data with increasing, decreasing or bathtub shaped failure rates and provides greater distribution flexibility. A concise explanation of the mathematical properties are provided. The parameters of the suggested model are estimated by the maximum likelihood method. To show the workability of the proposed model, an illustrated example is provided.

Keywords :Bathtub shaped failure rates; Moment generating function; Order statistics; Maximum likelihood estimates.

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