7280

6786

كارشناسي ارشد

آمار اقتصادي اجتماعي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1391

هشت، 62ص: جدول، نمودار

ص.ع. به فارسي و انگليسي

امير نادري

صفيه محمودي

21/8/91

افشين پرورده، سروش عليمرادي

1396/09/21

كتابنامه

علوم رياضي

رياضي

ID6786

به فارسي و انگليسي: قابل رويت در نسخه ديجيتال

Inferences on the Means of Lognormal Distributions using Generalized P Values and Generalized Con dence Intervals Leila Esnaashari Esfahani l esnaashariesfahani@math iut ac ir 04 08 2012 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr Amir Naderi amir@cc iut ac ir Advisor Dr Sa eh Mahmoodi mahmoodi@cc iut ac ir 2010 MSC 62G05 90B22 Keywords Coverage probability Generalized con dence interval Generalized p value Type Ierror probability Abstract This thesis is an extension and generalization of the work s done by K Krishnamoorthy andThomas Mathew Random variables that are inherently positive occur in many real life applications The suitability of the lognormal distribution has been validated for several such applications inparticular for analyzing biological data and for analyzing data on workplace exposure to contaminants A problem of interest in this context is statistical inference concerning the mean of the lognormaldistribution For obtaining con dence intervals and tests for a single lognormal mean the availablesmall sample procedures are based on a certain conditional distribution and are computationally veryinvolved Occupational hygienists have in fact pointed out the di culties in applying these procedures Clearly the computation of con dence intervals and test procedures concerning the mean of Xis equivalent to the computation of the corresponding quantities for For two independent lognor mal distributions with means exp 1 and exp 2 we have also considered the problem of testinghypotheses and computing con dence intervals for 1 2 Note that inference concerning 1 2is equivalent to that for the ratio of two lognormal means namely exp 1 exp 2 Furthermore we have also provided a procedure for constructing con dence limits for the di erence between the

امير نادري

صفيه محمودي

افشين پرورده، سروش عليمرادي