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The modified exponential distribution with applications
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نویسنده
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rasekhi m. ,alizadeh m. ,altun e. ,hamedani g.g. ,afify a.z. ,ahmad m.
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منبع
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pakistan journal of statistics - 2017 - دوره : 33 - شماره : 5 - صفحه:383 -398
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چکیده
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In this article,we generalize the exponential distribution by compounding the extended exponential distribution (gomez et al.,2014) and generalized exponential distribution (gupta and kundu,2001) and call it modified exponential (me) distribution. it includes as special submodels,kumaraswamy exponential,generalized exponential and exponential distributions. we provide a comprehensive description of the mathematical properties of the proposed distribution. the estimation of the model parameters is performed by the maximum likelihood method. a simulation study is performed to assess the performance of the maximum likelihood estimators. the usefulness of the modified exponential distribution for modeling data is illustrated using real data set by comparison with some generalizations of the exponential distribution. © 2017 pakistan journal of statistics.
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کلیدواژه
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Exponential distribution; Hazard rate function; Maximum likelihood estimation; Reliability function
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آدرس
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department of statistics,malayer university, ایران, department of statistics,faculty of sciences,persian gulf university,bushehr, ایران, department of statistics,hacettepe university, Turkey, department of math.,stat. & computer science,marquette university, United States, department of statistics,mathematics and insurance,benha university, Egypt, national college of business administration and economics,lahore, Pakistan
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Authors
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