The hazard rate of the power-quadratic exponential family of distributions
Among life distributions of exponential-type the power-quadratic distributions form a very versatile family since their hazard rates can have a wide variety of shapes, including the bathtub shape. It is shown in this article that this family can be partially ordered by its hazard rates whose precise expression and asymptotic behavior can also be obtained by using special mathematical functions.
| Year of publication: |
1994
|
|---|---|
| Authors: | Pham-Gia, T. |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 20.1994, 5, p. 375-382
|
| Publisher: |
Elsevier |
| Keywords: | Hazard rate Partial ordering Hermite function Tricomi function Asymptotic behavior |
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