Bivariate Geometric Distribution and Its Generalizations, Dependence Measures and the Distribution Properties

Abstract

In this study, the distribution properties of Marshall and Olkin’s bivariate geometric distribution are studied and the concordance measure Kendall’s Tau is obtained. Also, Maximum Likelihood estimators of the bivariate geometric distribution are obtained and generalization to multivariate case is given.

Keywords

• Bernoulli Distribution
• Bernoulli Marginals
• Maximum Likelihood
• Geometric Distribution
• Concordance Measure
• Survival Function

İki Değişkenli Geometrik Dağılım ve Genelleştirilmesi, Bağımlılık Ölçüleri ve Dağılım Özellikleri

Abstract

Bu çalışmada, Marshall ve Olkin’in iki değişkenli geometrik dağılımına ilişkin dağılım özellikleri araştırılmış ve uyumluluk ölçüsü Kendall Tau elde edilmiştir. Aynı zamanda, iki değişkenli geometrik dağılımın En Çok Olabilirlik tahmin edicisi elde edilmiş ve çok değişkenli duruma genelleştirilmesi verilmiştir.

Keywords

• Bernoulli Dağılımı
• Bernoulli Marjinali
• En Çok Olabilirlik
• Geometrik Dağılım
• Uyumluluk Ölçüsü
• Yaşam Fonksiyonu

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