HUNGARIAN STATISTICAL REVIEW, VOLUME 3, NUMBER 2, PP. 12–25. DOI: 10.35618/hsr2020.02.en012 Simon Sium – Rama Shanker A zero-truncated discrete Akash distribution with properties and applications* SIMON SIUM Lecturer Department of Statistics, Mainefhi College of Science, Eritrea Email: cimonesium@gmail.com RAMA SHANKER Associate Professor Department of Statistics, Assam University Silchar, India Email: shankerrama2009@gmail.com This study proposes and examines a zero-truncated discrete Akash distribution and obtains its probability and moment-generating functions. Its moments and moments-based statistical con- stants, including coefficient of variation, skewness, kurtosis, and the index of dispersion, are also presented. The parameter estimation is discussed using both the method of moments and maximum likelihood. Applications of the distribution are explained through three examples of real datasets, which demonstrate that the zero-truncated discrete Akash distribution gives better fit than several zero-truncated discrete distributions. KEYWORDS: zero-truncated distribution, discrete Akash distribution, goodness of fit A zero-truncated version of the original discrete distribution having probabil- ity mass function (pmf)   0 ; P x θ can be defined as       0 0 ; ; ; 1, 2, 3,... 1 0; P x θ Px θ x P θ    /1/ In probability theory, zero-truncated distributions are certain discrete distribu- tions whose support is the set of positive integers. Berhane–Shanker [2018a] have * The authors are grateful for the comments given by the editor-in-chief and the reviewers to improve the quality and presentation of the paper.