AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS PEARSON DAĞILIŞ AILESI KULLANILARAK KALITE-KAYIP FONKSIYONLARININ ELDE EDILMESI ÜZERINE BIR YAKLAŞIM
Author : Mustafa ÜNLÜ
-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER
Number of pages : 341-371
Abstract
There are a lot of different methods used for obtaining quality-loss and worth functions. In this study, we introduce an approach that is more flexible and have some advantages over classical quadratic quality-loss functions. Pearson Type IX distributions are used for obtaining quality-loss and worth functions. It is possible to have special quality-loss and worth functions for asymmetric nominal the best (NTB), smaller the better (STB) and the larger the better (LTB) type quality characteristics by using suggested approach. Also we calculated expected losses for asymmetrical tolerances and analysed them by using suggested quality-loss and worth functions for different hypothetical process distributions. We introduce a way to determine any Pearson Type I Bell-shaped distributions by using expected value, lower limit, the upper limit and mode values. Besides, we propose a method for determining Type IX J-shaped distributions by using expected value, lower and upper limit informations. After determining the Pearson distributions, we use them to obtain the loss and the corresponding worth function.
Keywords
asymmetrical tolerances, quality-loss function, Pearson family of distributions
@article{2019,title={AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS},abstractNode={There are a lot of different methods used for obtaining quality-loss and worth functions. In this study, we introduce an approach that is more flexible and have some advantages over classical quadratic quality-loss functions. Pearson Type IX distributions are used for obtaining quality-loss and worth functions. It is possible to have special quality-loss and worth functions for asymmetric nominal the best (NTB), smaller the better (STB) and the larger the better (LTB) type quality characteristics by using suggested approach. Also we calculated expected losses for asymmetrical tolerances and analysed them by using suggested quality-loss and worth functions for different hypothetical process distributions. We introduce a way to determine any Pearson Type I Bell-shaped distributions by using expected value, lower limit, the upper limit and mode values. Besides, we propose a method for determining Type IX J-shaped distributions by using expected value, lower and upper limit informations. After determining the Pearson distributions, we use them to obtain the loss and the corresponding worth function.},author={Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER},year={2019},journal={The Journal of Academic Social Science}}
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER . 2019 . AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS . The Journal of Academic Social Science.DOI:10.16992/ASOS.15085
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER.(2019).AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS.The Journal of Academic Social Science
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER,"AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS" , The Journal of Academic Social Science (2019)
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER . 2019 . AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS . The Journal of Academic Social Science . 2019. DOI:10.16992/ASOS.15085
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER .AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS. The Journal of Academic Social Science (2019)
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER .AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS. The Journal of Academic Social Science (2019)
Format:
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER. (2019) .AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS The Journal of Academic Social Science
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER . AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS . The Journal of Academic Social Science . 2019 doi:10.16992/ASOS.15085
Mustafa ÜNLÜ-- Ali Kemal ŞEHİRLİOĞLU - Samim DÜNDAR - Cenk ÖZLER."AN APPROACH FOR OBTAINING QUALITY-LOSS FUNCTIONS BY USING PEARSON FAMILY OF DISTRIBUTIONS",The Journal of Academic Social Science(2019)