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Synopsis
This book introduces three new criteria (a) moment relations, (b) moment ratios and (c) ratios of the coefficients of the recurrence relations to characterize and indentify probability distributions. In general moment relations criteria are effective but there are some special situations, where the moment relations of two or more suspected distributions are same or one particular moment function takes same value for two or more distributions. In such a situation two moment ratios as extra criteria are proposed for deciding among them. This book also discussed the identification of a distribution by using the ratios of the coefficients of the recurrence relations obtained from its generating function. The significant contribution of this research is to introduce a new special class of exponential family of distributions named ‘transformed Chi-square family”. Explicit expressions for the MVUE with MV of a function of the parameter of this family are given. The critical region and the power function for various tests of hypotheses for the parameter of this family are also obtained. An identification procedure with probability of correct identification is discussed in detail.
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About the Author
Dr. Shafiqur Rahman was born and brought up in Bangladesh and then migrated to Australia. He has a PhD in Statistics from Dalhousie Uni of Canada. He taught at Chittagong Uni of Bangladesh, Dalhousie and Saint Mary’s Uni of Canada, Monash Uni of Australia, UPNG of PNG and SQU of Oman. He has numerous publications. He is an Associate Editor of JAPS.
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Characterization and identification of probability distributions
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LAP LAMBERT Academic Publishing Feb 2012, 2012
ISBN 10: 3848408252
ISBN 13: 9783848408252
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces three new criteria (a) moment relations, (b) moment ratios and (c) ratios of the coefficients of the recurrence relations to characterize and indentify probability distributions. In general moment relations criteria are effective but there are some special situations, where the moment relations of two or more suspected distributions are same or one particular moment function takes same value for two or more distributions. In such a situation two moment ratios as extra criteria are proposed for deciding among them. This book also discussed the identification of a distribution by using the ratios of the coefficients of the recurrence relations obtained from its generating function. The significant contribution of this research is to introduce a new special class of exponential family of distributions named transformed Chi-square family . Explicit expressions for the MVUE with MV of a function of the parameter of this family are given. The critical region and the power function for various tests of hypotheses for the parameter of this family are also obtained. An identification procedure with probability of correct identification is discussed in detail. 108 pp. Englisch. Seller Inventory # 9783848408252
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Characterization and Identification of Probability Distributions
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Characterization and Identification of Probability Distributions
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Characterization and identification of probability distributions
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Characterization and Identification of Probability Distributions
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2012
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Characterization and identification of probability distributions
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LAP LAMBERT Academic Publishing Feb 2012, 2012
ISBN 10: 3848408252
ISBN 13: 9783848408252
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book introduces three new criteria (a) moment relations, (b) moment ratios and (c) ratios of the coefficients of the recurrence relations to characterize and indentify probability distributions. In general moment relations criteria are effective but there are some special situations, where the moment relations of two or more suspected distributions are same or one particular moment function takes same value for two or more distributions. In such a situation two moment ratios as extra criteria are proposed for deciding among them. This book also discussed the identification of a distribution by using the ratios of the coefficients of the recurrence relations obtained from its generating function. The significant contribution of this research is to introduce a new special class of exponential family of distributions named 'transformed Chi-square family'. Explicit expressions for the MVUE with MV of a function of the parameter of this family are given. The critical region and the power function for various tests of hypotheses for the parameter of this family are also obtained. An identification procedure with probability of correct identification is discussed in detail.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 108 pp. Englisch. Seller Inventory # 9783848408252
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Characterization and identification of probability distributions : Monograph
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book introduces three new criteria (a) moment relations, (b) moment ratios and (c) ratios of the coefficients of the recurrence relations to characterize and indentify probability distributions. In general moment relations criteria are effective but there are some special situations, where the moment relations of two or more suspected distributions are same or one particular moment function takes same value for two or more distributions. In such a situation two moment ratios as extra criteria are proposed for deciding among them. This book also discussed the identification of a distribution by using the ratios of the coefficients of the recurrence relations obtained from its generating function. The significant contribution of this research is to introduce a new special class of exponential family of distributions named transformed Chi-square family . Explicit expressions for the MVUE with MV of a function of the parameter of this family are given. The critical region and the power function for various tests of hypotheses for the parameter of this family are also obtained. An identification procedure with probability of correct identification is discussed in detail. Seller Inventory # 9783848408252
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Characterization and identification of probability distributions | Monograph
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Taschenbuch. Condition: Neu. Characterization and identification of probability distributions | Monograph | Shafiqur Rahman | Taschenbuch | 108 S. | Englisch | 2012 | LAP LAMBERT Academic Publishing | EAN 9783848408252 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 106602319
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Characterization and identification of probability distributions: Monograph
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