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Bayesian analysis of maxwell-boltzmann distribution under different loss functions and prior distributions
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نویسنده
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dar a.a. ,ahmed a. ,reshi j.a.
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منبع
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pakistan journal of statistics - 2017 - دوره : 33 - شماره : 6 - صفحه:419 -440
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چکیده
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Present paper discusses bayesian estimation of maxwell-boltzmann distribution under different combinations of loss functions and prior distributions. rate parameter of maxwell- boltzmann distribution is assumed to follow extension of jeffrey’s prior and gamma prior. loss functions considered in this paper are squared error,precautionary,stein’s and al-bayyati’s loss function. we have derived different estimators of rate parameter under the mutual combinations of considered loss functions and prior distributions. these estimators are then compared in terms of mean square error (mse) which is computed by using the programming language r. © 2017 pakistan journal of statistics.
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کلیدواژه
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Al-bayyati’s loss function; Extension of jeffrey’s prior; Gamma prior; Precautionary loss function; Squared error loss function; Stein’s loss function
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آدرس
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department of statistics & operations research,aligarh muslim university,aligarh, India, department of statistics & operations research,aligarh muslim university,aligarh, India, department of statistics,govt. degree college (boys),anantnag,jammu & kashmir, India
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Authors
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