03435nam 22005895 450 991025427490332120250402095936.0981-10-5296-410.1007/978-981-10-5296-5(CKB)4340000000062071(DE-He213)978-981-10-5296-5(MiAaPQ)EBC4926946(PPN)203667239(EXLCZ)99434000000006207120170727d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierStatistical Estimation for Truncated Exponential Families /by Masafumi Akahira1st ed. 2017.Singapore :Springer Nature Singapore :Imprint: Springer,2017.1 online resource (XI, 122 p. 10 illus.)JSS Research Series in Statistics,2364-0065981-10-5295-6 Includes bibliographical references at the end of each chapters and index.This book presents new findings on nonregular statistical estimation. Unlike other books on this topic, its major emphasis is on helping readers understand the meaning and implications of both regularity and irregularity through a certain family of distributions. In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. This focus includes the (truncated) Pareto distribution, which is widely used in various fields such as finance, physics, hydrology, geology, astronomy, and other disciplines. The family is essential in that it links both regular and nonregular distributions, as it becomes a regular exponential family if the truncation parameter is known. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter. In order to obtain more information on the truncation, the Bayesian approach is also considered. Further, the application to some useful truncated distributions is discussed. The illustrated clarification of the nonregular structure provides researchers and practitioners with a solid basis for further research and applications.JSS Research Series in Statistics,2364-0065StatisticsMathematical statisticsData processingStatisticsStatistical Theory and MethodsStatistics and ComputingStatistics in Business, Management, Economics, Finance, InsuranceStatistics in Engineering, Physics, Computer Science, Chemistry and Earth SciencesStatistics.Mathematical statisticsData processing.Statistics.Statistical Theory and Methods.Statistics and Computing.Statistics in Business, Management, Economics, Finance, Insurance.Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.519.544Akahira Masafumiauthttp://id.loc.gov/vocabulary/relators/aut442015MiAaPQMiAaPQMiAaPQBOOK9910254274903321Statistical Estimation for Truncated Exponential Families1562246UNINA