Five Popular Probability Density Functions: A Comparison in the Field of Stock-Control Models
作者： Leonard Fortuin
关键词: Gaussian 、 Statistics 、 Computer science 、 Probability density function 、 Field (mathematics) 、 Transcendental function 、 Weibull distribution 、 Lead time 、 Simple (abstract algebra) 、 Marketing 、 Management Science and Operations Research 、 Strategy and Management 、 Management information systems
摘要: For the statistical description of a demand process, many probability density functions (pdf) are available, each having its advantages and drawbacks. How do they compare when in application? Is it true that shape pdf is not relevant? This paper deals with one application, namely simple s,Q stock control system. Assuming for lead time successively five different pdf's (Gaussian, logistic, gamma, log-normal, Weibull) using service level as criterion, shown this application (1) numerical differences between selected fact negligible; (2) logistic produces formula only contains elementary transcendental functions; (3) other to much more complex expressions.
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