| Title:
|
The inverse distribution for a dichotomous random variable (English) |
| Author:
|
Bona, Elisabetta |
| Author:
|
Sacchetti, Dario |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
385-394 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we will deal with the determination of the inverse of a dichotomous probability distribution. In particular it will be shown that a dichotomous distribution admit inverse if and only if it corresponds to a random variable assuming values $(0,a)$, $\,a\in \Bbb R^{+}$. Moreover we will provide two general results about the behaviour of the inverse distribution relative to the power and to a linear transformation of a measure. (English) |
| Keyword:
|
inverse measure |
| Keyword:
|
inverse probability distribution |
| Keyword:
|
Laplace transform |
| Keyword:
|
variance function |
| MSC:
|
60E05 |
| MSC:
|
60E10 |
| MSC:
|
62E10 |
| MSC:
|
62E15 |
| idZBL:
|
Zbl 0890.60014 |
| idMR:
|
MR1455507 |
| . |
| Date available:
|
2009-01-08T18:35:00Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118938 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[5] Morris C.N.: Natural exponential families with quadratic variance functions.The Annals of Statistics 10 (1982), 65-80. Zbl 0498.62015, MR 0642719 |
| Reference:
|
[6] Sacchetti D.: Inverse distributions: an example of non existence.Accademia di scienze, lettere ed arti di Palermo, 1993. |
| Reference:
|
[7] Serrecchia A.: Inverse distributions.Publ. de l'Inst. de Stat. de l'Univ. de PARIS XXXI 1 (1986), 71-85. Zbl 0651.62010, MR 0903423 |
| Reference:
|
[8] Seshadri V.: The Inverse Gaussian Distribution.Clarendon Press, Oxford, 1993. Zbl 0942.62011, MR 1306281 |
| Reference:
|
[9] Tweedie H.C.K.: Inverse statistical deviates.Nature (1945), 155-453. MR 0011907 |
| . |
