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"عيسى، علي عبدالحميد أحمد"
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On Zero-Truncated Poisson- Muth Distribution
This paper presents a novel distribution, referred to as the Zero- Truncated Poisson Muth (ZTPM) Distribution. an important statistical model for analyzing data that excludes zero values. This study examines the statistical properties of the Zero-Truncated Poisson Muth (ZTPM) distribution, covering its probability density function (PDF), cumulative distribution function (CDF), survival function, and hazard rate. Parameter estimation is performed using the Maximum Likelihood Estimation (MLE) method, applied across different parameter values and sample sizes. The study also derives moments, order statistics, and examines skewness and kurtosis of the distribution. Through practical examples, the ZTPM distribution demonstrates its flexibility in handling non-zero data, proving highly effective for parameter estimation and data analysis in fields such as reliability and survival analysis.
Journal Article