Statistical Distribution Estimation and Applications

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• COŞKUN KUŞ

This article studies twelve different normality tests that are used for assessing the assumption that a sample was drawn from a normally distributed population and compares their powers. The tests in question are chi-square, Kolmogorov–Smirnov, Anderson–Darling, Kuiper, Shapiro–Wilk, Ajne, modified Ajne, modified Kuip…

• BERNA YAZICI

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• NARAYANASWAMY BALAKRİSHNAN

Step-stress accelerated degradation testing (SSADT) is a useful tool for assessing the lifetime distribution of highly reliable products (under a typical-use condition) when the available test items are very few. Recently, an optimal SSADT plan was proposed based on the assumption that the underlying degradation path…

• NARAYANASWAMY BALAKRİSHNAN

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• NARAYANASWAMY BALAKRİSHNAN

In this study, we investigate how Wilks’ lambda, Pillai’s trace, Hotelling’s trace, and Roy’s largest root test statistics can be affected when the normal and homogeneous variance assumptions of the MANOVA method are violated. In other words, in these cases, the robustness of the tests is examined. For this purpose, a…

• CAN ATEŞ
• ÖZLEM KAYMAZ

Degradation models are usually used to provide information about the reliability of highly reliable products that are not likely to fail within a reasonable period of time under traditional life tests, or even accelerated life tests. The gamma process is a natural model for describing degradation paths, which exhibit…

• NARAYANASWAMY BALAKRİSHNAN

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• COŞKUN KUŞ

We propose a new class of continuous distributions with two extra shape parameters named the generalized odd log-logistic family of distributions. The proposed family contains as special cases the proportional reversed hazard rate and odd log-logistic classes. Its density function can be expressed as a linear combinat…

• EMRAH ALTUN

We propose a new class of continuous distributions with two extra shape parameters named the generalized odd log-logistic family of distributions. The proposed family contains as special cases the proportional reversed hazard rate and odd log-logistic classes. Its density function can be expressed as a linear combinat…

• GAMZE ÖZEL KADILAR

We consider in this work a k-step-stress accelerated test with equal duration steps /spl tau/. Censoring is allowed at each change stress point i/spl tau/, i=1,...k. The problem of choosing the optimal /spl tau/ is addressed using variance optimality as well as determinant-optimality criteria. We investigate in detail…

• NARAYANASWAMY BALAKRİSHNAN

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