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Arcsine-G Family of Distributions |
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PP: 169-179 |
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doi:10.18576/jsapl/080303
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Author(s) |
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Md. Mahabubur Rahman,
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Abstract |
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This article introduces a family of distributions. The moments and simultaneous estimation for the model parameters of the family are discussed. A special case of this family, called the arcsine-exponential distribution is proposed. The distributional properties of the arcsine-exponential distribution are discussed along with the distributions of the several order statistics. Maximum likelihood and method of moment estimation techniques are discussed for the model parameter of the distribution. An extensive simulation study is conducted to asses the performance of the maximum likelihood estimation technique. Two real-life data sets are considered to observe the applicability of the proposed arcsine-exponential distribution.
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