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Small-sample estimation of poisson parameter using Bayesian method

ThaSH: ¡ÒÃᨡᨧ»ÑǫͧÊì
ThaSH: ¡ÒûÃÐÁÒ³¤èÒ¾ÒÃÒÁÔàµÍÃì
ThaSH: ªèǧ¤ÇÒÁàª×èÍÁÑè¹
Abstract: ¡ÒÃÇԨѹÕéÁÕÇѵ¶Ø»ÃÐʧ¤ìà¾×èÍÈÖ¡ÉÒà»ÃÕºà·ÕºÇÔ¸Õ¡ÒûÃÐÁÒ³¤èÒ¾ÒÃÒÁÔàµÍÃì . ¢Í§¡ÒÃᨡᨧ»ÑÇÊì«Í§áººªèǧ 2 ÇÔ¸Õ ¤×Í ÇÔ¸Õ¡ÒûÃÐÁҳẺáÁ¡«ÔÁÑÁäÅÅÔÎÙ´ áÅÐÇÔ¸Õ¡ÒûÃÐÁҳẺàºÂì ·ÕèÁÕ¡ÒÃᨡᨧ¡è͹à»ç¹áººá¡ÁÁÒ ãªéÇÔ¸Õ¡ÒèÓÅͧ¢éÍÁÙÅ´éÇÂà·¤¹Ô¤Á͹µÔ¤ÒÃìâÅáÅзӫéÓ 1,000 Ãͺã¹áµèÅÐʶҹ¡Òóì·ÕèÈÖ¡ÉÒ ¡ÒõѴÊԹ㨾ԨÒóҨҡ¤èÒÊÑÁ»ÃÐÊÔ·¸Ôì¤ÇÒÁàª×èÍÁÑè¹ áÅФèÒ¤ÇÒÁÂÒÇà©ÅÕè¢ͧªèǧ¤ÇÒÁàª×èÍÁÑ蹼šÒÃÇԨѾºÇèÒÇÔ¸Õ¡ÒûÃÐÁÒ³ªèǧ¤ÇÒÁàª×èÍÁÑè¹áººàºÂìàÁ×èÍ¡ÒÃᨡᨧ¡è͹à»ç¹áººá¡ÁÁÒãËé¼Å´Õ¡ÇèÒẺáÁ¡«ÔÁÑÁäÅÅÔÎÙ´ã¹·Ø¡¡Ã³Õ·ÕèÈÖ¡ÉÒ â´Â·Õè¤èÒ¾ÒÃÒÁÔàµÍÃì .. ,. . ¢Í§¡ÒÃᨡᨧá¡ÁÁҨТÖé¹ÍÂÙè¡Ñº¢¹Ò´µÑÇÍÂèÒ§ n áÅоÒÃÒÁÔàµÍÃì . ¢Í§¡ÒÃᨡᨧ»ÑÇÊì«Í§
Abstract: The objective of this research was to compare two interval estimation methods forparameters of Poisson distributions. The estimation methods were Maximum LikelihoodMethod, Bayesian Estimation Method which used Gamma prior distributions. The datawere generated through the Monte Carlo simulation technique and each case was repeated1,000 times. The comparison was based on the confidence coefficient and the averagewidth of interval estimation.The results indicated that Bayesian Estimation with a gamma distribution yielded anaverage width of interval which was less than for the Maximum Likelihood method for eachcase studied. The ƒÑ , ƒÒ parameter estimates for the posterior distribution depended onƒÿ of the Poisson distribution and the sample size.
ʶҺѹ෤â¹âÅÂÕ¾ÃШÍÁà¡ÅéÒ¾Ãй¤Ãà˹×Í. ÊӹѡËÍÊÁØ´¡ÅÒ§
Address: ¡Ãا෾ÁËÒ¹¤Ã
Email: library@kmutnb.ac.th
Role: ·Õè»ÃÖ¡ÉÒÇÔ·ÂÒ¹Ô¾¹¸ì
Email : wnb@kmitnb.ac.th
Role: ·Õè»ÃÖ¡ÉÒÇÔ·ÂÒ¹Ô¾¹¸ì
Created: 2549
Issued: 2550-12-03
Modified: 2567-06-24
ÇÔ·ÂÒ¹Ô¾¹¸ì/Thesis
CallNumber: Ǿ MAST ¡276¾
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