Reliability of a soccer player based on the bivariate Rayleigh distribution with right censored and ignorable missing data. (English) Zbl 1521.62252
Summary: In this paper, we study the performance of a soccer player based on analysing an incomplete data set. To achieve this aim, we fit the bivariate Rayleigh distribution to the soccer dataset by the maximum likelihood method. In this way, the missing data and right censoring problems, that usually happen in such studies, are considered. Our aim is to inference about the performance of a soccer player by considering the stress and strength components. The first goal of the player of interest in a match is assumed as the stress component and the second goal of the match is assumed as the strength component. We propose some methods to overcome incomplete data problem and we use these methods to inference about the performance of a soccer player.
MSC:
| 62-XX | Statistics |
Keywords:
bivariate Rayleigh distribution; maximum likelihood estimator; soccer player; right censored data; missing data; stress-strength componentReferences:
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