A mixed Poisson model with varying element sizes
(2005) , 9 pages
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- Abstract
- The data of Bissell (1972a) are counts of the number of flaws in rolls of textile fabric of different lengths. Cox and Snell (1981) remark that ”the probability distribution of the number of faults is of interest, especially in its relation to that expected if they occur at random at a fixed rate per unit of length”. Given that the simple Poisson model is rejected due to overdispersion, we propose to analyse the data by means of a general family of discrete laws, indexed by a parameter that distinguishes several well-known distributions. Our methodology provides some insight into the quality of the production and a relatively straightforward way to evaluate the probability distribution of the aggregate cost of the defects, avoiding the evaluation of convolutions.
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Citations
Paris, J., & Walhin, J.-F. (2005). A mixed Poisson model with varying element sizes (ACTU Working Paper 2005-21). https://hdl.handle.net/2078.5/42603