Mathematics and Statistics Vol. 2(2), pp. 72 - 77
DOI: 10.13189/ms.2014.020203
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Goodness-of-Fit Test Based on Arbitrarily Selected Order Statistics

Zhenmin Chen *
Department of Mathematics and Statistics, Florida International University, Miami, FL33199, USA


Checking whether or not the population distribution, from which a random sample is drawn, is a specified distribution is a popular topic in statistical analysis. Such a problem is usually named as goodness-of-fit test. Numerous research papers have been published in this area. The purpose of this short paper is to provide a goodness-of-fit test statistic which works for many kinds of censored data formed by order statistics. This is an extension of the work presented in Chen and Ye (2009). The method can be used for censored samples that are commonly used in reliability analysis including left censored data, right censored data and doubly censored data.

Goodness-of-Fit Test, Censored Data, Arbitrarily Selected Order Statistics, Uniformity

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Zhenmin Chen , "Goodness-of-Fit Test Based on Arbitrarily Selected Order Statistics," Mathematics and Statistics, Vol. 2, No. 2, pp. 72 - 77, 2014. DOI: 10.13189/ms.2014.020203.

(b). APA Format:
Zhenmin Chen (2014). Goodness-of-Fit Test Based on Arbitrarily Selected Order Statistics. Mathematics and Statistics, 2(2), 72 - 77. DOI: 10.13189/ms.2014.020203.