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Exponential-logarithmic distribution
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Exponential-logarithmic distribution : ウィキペディア英語版
Exponential-logarithmic distribution
)}
| mean = -\frac
| median = \frac
| mode = 0
| variance = -\frac
-\frac
| skewness =
| kurtosis =
| entropy =
| mgf = -\frac \text_
((),(),1-p)
| cf =
| pgf =
| fisher =
}}
In probability theory and statistics, the Exponential-Logarithmic (EL) distribution is a family of lifetime distributions with
decreasing failure rate, defined on the interval [0, ∞). This distribution is parameterized by two parameters p\in(0,1) and \beta >0.
== Introduction ==

The study of lengths of organisms, devices, materials, etc., is of major importance in the biological and engineering sciences. In general, the lifetime of a device is expected to exhibit decreasing failure rate (DFR) when its behavior over time is characterized by 'work-hardening' (in engineering terms) or 'immunity' (in biological terms).
The exponential-logarithmic model, together with its various properties, are studied by Tahmasbi and Rezaei (2008)〔Tahmasbi, R., Rezaei, S., (2008), "A two-parameter lifetime distribution with decreasing failure rate", ''Computational Statistics and Data Analysis'', 52 (8), 3889-3901. 〕
This model is obtained under the concept of population heterogeneity (through the process of
compounding).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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