2005/12/25 by E Sandhya, S Sherly, Sandhya, E +6
Decision Sciences · Mathematics · #60 E 05 #60 E 10 #62 E 10 #62 E 15 #Advanced Statistical Methods and Models #FOS: Mathematics #Multidisciplinary Science and Engineering Research #Probability (math.PR) #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST) #math.PR #math.ST #msc:05 #msc:10 #msc:15 #msc:60 #msc:62 #stat.TH
paper · pdf · doi:10.48550/arxiv.math/0512565
submitted, 10 pages, in pdf format
arxiv created 2005/12/25 · openalex publication_date 2005/12/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Extended geometric distribution is defined and its mixture is characterized by the property of having completely monotone probability sequence. Also, convolution equations and probability generating functions are used to characterize extended geometric distributions. Further, some characterizations of Harris and negative binomial distributions based on probability generating functions are obtained. Relations between these distributions are derived and finally a gamma distribution is characterized in terms of its Laplace transform.