The shortest interval approach can be solved as an optimization problem, while the equally tailed approach is determined by using the distribution function. The equal density approach is proposed instead of the optimization problem for determining the shortest confidence interval. It is applied to multimodal probability density functions to determine the shortest confidence interval. Furthermore, the equal density and optimization approach for the shortest confidence interval and the equally tailed approach were applied to numerical examples and their results were compared. Nevertheless, the main subject of this study is the calculation of the shortest confidence intervals for any multimodal distribution.
Konular  

Dergi Bölümü  Statistics 
Yazarlar 

Bibtex  @araştırma makalesi { gujs354422,
journal = {Gazi University Journal of Science},
issn = {},
address = {Gazi Üniversitesi},
year = {},
volume = {31},
pages = {310  326},
doi = {},
title = {Determination of the Confidence Intervals for Multimodal Probability Density Functions},
key = {cite},
author = {TEZEL, ÖZGE and KESEMEN, ORHAN and ÖZKUL, EDA and TİRYAKİ, BUĞRA}
} 
APA  KESEMEN, O , TİRYAKİ, B , ÖZKUL, E , TEZEL, Ö . (). Determination of the Confidence Intervals for Multimodal Probability Density Functions. Gazi University Journal of Science, 31 (1), 310326. Retrieved from http://dergipark.gov.tr/gujs/issue/35772/354422 
MLA  KESEMEN, O , TİRYAKİ, B , ÖZKUL, E , TEZEL, Ö . "Determination of the Confidence Intervals for Multimodal Probability Density Functions". Gazi University Journal of Science 31 (): 310326 <http://dergipark.gov.tr/gujs/issue/35772/354422> 
Chicago  KESEMEN, O , TİRYAKİ, B , ÖZKUL, E , TEZEL, Ö . "Determination of the Confidence Intervals for Multimodal Probability Density Functions". Gazi University Journal of Science 31 (): 310326 
RIS  TY  JOUR T1  Determination of the Confidence Intervals for Multimodal Probability Density Functions AU  ORHAN KESEMEN , BUĞRA KAAN TİRYAKİ , EDA ÖZKUL , ÖZGE TEZEL Y1  2018 PY  2018 N1  DO  T2  Gazi University Journal of Science JF  Journal JO  JOR SP  310 EP  326 VL  31 IS  1 SN  21471762 M3  UR  Y2  2017 ER  
EndNote  %0 Gazi University Journal of Science Determination of the Confidence Intervals for Multimodal Probability Density Functions %A ORHAN KESEMEN , BUĞRA KAAN TİRYAKİ , EDA ÖZKUL , ÖZGE TEZEL %T Determination of the Confidence Intervals for Multimodal Probability Density Functions %D 2018 %J Gazi University Journal of Science %P 21471762 %V 31 %N 1 %R %U 