Parameters estimators of irregular right-angled triangular distribution

Article type: Research Article

Authors: Kachiashvili, Kartlos J.^{a; b} | Topchishvili, Alexander L.^{c; *}

Affiliations: [a] Georgian Technical University, Tbilisi, Georgia | [b] I. Vekua Institute of Applied Mathematics of the Tbilisi State University, Tbilisi, Georgia | [c] DolMa, District Committee of Administrative District Marburg-Biedenkopf, Marburg, Germany

Correspondence: [*] Corresponding author: Alexander Topchishvili, Friedrich-Ebert-Str. 88, 35039 Marburg, Germany. E-mail:[email protected]

Abstract: We obtained and investigated consistent, unbiased and efficient estimators of the parameters of irregular right-angled triangular distribution on the basis of maximum likelihood estimators. Some computation results realized on the basis of simulation of the appropriate random samples demonstrate theoretical outcomes.

Keywords: Irregular right-angled triangular distribution, maximum likelihood estimator, consistency, unbiasedness, efficiency

DOI: 10.3233/MAS-150362

Journal: Model Assisted Statistics and Applications, vol. 11, no. 2, pp. 179-184, 2016