الفهرس 
On the odds of generalized exponential family
AbstractOnly 14 pages are availabe for public view
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Abstract
In many actual situations, classical distributions do not provide appropriate {uFB01}ts to real data. Recently, attempts have been made to define new families of probability distributions that extend well-known distributions and at the same time provide great flexibility in modeling data in practice. In this thesis, a new three-parameter lifetime distribution, called odds generalized exponential inverse Weibull with increasing, decreasing and U- shaped failure rate are introduced. Closed-form expressions for the density, cumulative distribution, survival and failure rate functions are provided. Some mathematical properties of a new distribution such as quantile function, moments and moment generating function are derived. Furthermore, estimation of model parameters are discussed by methods of maximum likelihood, least squares and percentiles. An intensive numerical study is conducted to assess the performance of the parameters estimator. Comparisons are made between the different estimates through their absolute biases and mean squared errors. Application to real data set is given to show the flexibility and potentiality of the proposed distribution. A new four-parameter lifetime distribution, called the odd generalized exponential power function distribution, are also introduced in this thesis. The properties of the suggested distribution are discussed, including; quantile function, moments and moment generating functions. Some distributions of order statistics are obtained. The estimation of the model parameters is performed by maximum likelihood and percentiles methods. Some mathematical properties of the new distribution are discussed. Applications to real data sets are given to show the flexibility and potentiality of the proposed distribution