In this paper, we estimate the probability density function and the cumulative distribution function of the Topp-Leone distribution. We use the maximum likelihood estimation, uniformly minimum variance unbiased estimation, least squares estimation, weighted least squares estimation, Cramér-von Mises estimation, Anderson-Darling estimation and method of percentile estimation. The consistency of these methods is illustrated in a simulation study. Finally, a real data set is given to assess the performance of proposed methods.
Topp-Leone distribution Maximum likelihood least squares estimation Weighted least squares estimation Cramér-von Mises estimation Anderson-Darling estimation.
Birincil Dil | İngilizce |
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Konular | İstatistik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 29 Eylül 2023 |
Gönderilme Tarihi | 25 Eylül 2022 |
Kabul Tarihi | 5 Eylül 2023 |
Yayımlandığı Sayı | Yıl 2023 |