G. G. Hamedani – författare
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4 produkter
4 produkter
E-bok
PDF, Engelska, 20193 639 kr
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This monograph is, as far as the author has gathered, the second of its kind (the first one was published by Nova in 2017 with coauthors Hamedani and Maadooliat) which presents various characterizations of a wide variety of continuous distributions. These two monographs could also be used as sources to prevent reinventing and duplicating the already exiting distributions. The current book consists of seven chapters. The first chapter lists cumulative and density functions of two hundred and twenty univariate distributions. Chapter two provides characterizations of these distributions: (i) based on the ration of two truncated moments; (ii) in terms of the hazard function; (iii) in terms of the reverse hazard function; (iv) based on the conditional expectation of certain functions of the random variable. Chapter three includes the characterizations of twenty distributions, which appeared in a published paper (Hamedani and Safavimanesh, 2017). Chapter four presents characterizations of thirty six distributions, contains a published paper (Hamedani, 2017). Chapter five covers the characterizations of forty one distributions, which appeared in a published paper (Hamedani, 2018a). Chapter six presents characterizations of eighty distributions, contained in a published paper (Hamedani, 2018b). Finally, chapter seven consists of seventy proposed distributions. The main reason to include previously published papers in Chapters 3-6 is to provide a rather complete source for the interested researchers who would want to avoid reinventing the existing distributions.
Häftad, Engelska, 2025
742 kr
Skickas inom 5-8 vardagar
Häftad, Engelska, 2025
1 170 kr
Skickas inom 5-8 vardagar
E-bok
PDF, Engelska, 20234 135 kr
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As mentioned in previous monographs (I, II, and III), in designing a stochastic model for a particular modeling problem, an investigator will be vitally interested to know if their model fits the requirements of a specific underlying probability distribution. To this end, the investigator will rely on the characterizations of the selected distribution. Generally speaking, the problem of characterizing a distribution is an important problem in various fields and has recently attracted the attention of many researchers. Consequently, various characterization results have been reported in the literature. These characterizations have been established in many different directions. The present work deals with the characterization of a 800 newly proposed univariate continuous distributions as they became available to the author rather than the order of their importance. This work is a continuation of our previous works (Hamedani and Safavimanesh, 2017), (Hamedani, 2017), (Hamedani and Maadooliat, 2017), (Hamedani, 2018a), (Hamedani, 2018b), (Hamedani 2019) and (Hamedani 2021) on the characterizations of distributions introduced in 2019-2021. The current work and the previous published papers mentioned above may serve as a source of preventing the reinvention and/or duplication of the existing distributions in the future.