Matrix variate Laplace distribution: Properties and parameter estimation

Öz

In this study, we proposed matrix variate Laplace distribution as a scale mixture of matrix variate normal distribution and exponential distribution. Also, we examine some distributional properties and give maximum likelihood estimators of its parameters based on the EM algorithm.

Anahtar Kelimeler

• EM algorithm,matrix variate distribution

Matris değişkenli Laplace dağılımı: Özellikleri ve parametre tahmini

Öz

Bu çalışmada matris değişkenli normal dağılım ve üstel dağılımın ölçek karması olarak matris değişkenli Laplace dağılımı önerilmiştir. Ayrıca önerilen dağılımın özellikleri incelenmiştir ve parametrelerinin tahmini için EM (Expectation-Maximization) algoritmasına dayalı en çok olabilirlik tahmin edicileri verilmiştir. 

Anahtar Kelimeler

• EM algoritması,matris değişkenli dağılım,parametre tahmini

Kaynakça

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