# On the quadratic derivative of exponential probabilities

Aplikace matematiky (1980)

- Volume: 25, Issue: 4, page 267-272
- ISSN: 0862-7940

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topRublík, František. "On the quadratic derivative of exponential probabilities." Aplikace matematiky 25.4 (1980): 267-272. <http://eudml.org/doc/15150>.

@article{Rublík1980,

abstract = {In the paper it is shown that exponential families of probabilities have the quadratic derivative of the likelihood ratio, and explicit formulas for this derivative are derived.},

author = {Rublík, František},

journal = {Aplikace matematiky},

keywords = {quadratic derivative; exponential family density; quadratic derivative; exponential family density},

language = {eng},

number = {4},

pages = {267-272},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the quadratic derivative of exponential probabilities},

url = {http://eudml.org/doc/15150},

volume = {25},

year = {1980},

}

TY - JOUR

AU - Rublík, František

TI - On the quadratic derivative of exponential probabilities

JO - Aplikace matematiky

PY - 1980

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 25

IS - 4

SP - 267

EP - 272

AB - In the paper it is shown that exponential families of probabilities have the quadratic derivative of the likelihood ratio, and explicit formulas for this derivative are derived.

LA - eng

KW - quadratic derivative; exponential family density; quadratic derivative; exponential family density

UR - http://eudml.org/doc/15150

ER -

## References

top- R. Engelking, An Outline of General Topology, (in Polish). Warszawa 1968. (1968) MR0230273
- R. A. Johnson G. G. Roussas, 10.1214/aoms/1177697497, Ann. Math. Stat. 40 (1969), 1207-1215. (1969) MR0264753DOI10.1214/aoms/1177697497
- R. A. Johnson G. G. Roussas, 10.1214/aoms/1177696969, Ann. Math. Stat. 41 (1970), 918-938. (1970) MR0279925DOI10.1214/aoms/1177696969
- R. A. Johnson G. G. Roussas, Applications of Contiguity to Multiparameter Hypotheses Testing, Proceedings of the Sixth Berkeley Symposium on Math. Stat. and Prob.
- E. L. Lehman, Testing Statistical Hypotheses, New York 1959. (1959) MR0107933
- F. Leja, Complex Functions, (in Polish). Warszawa 1971. (1971)
- G. G. Roussas, Контигуальность вероятностных мер, Москва 1975. (1975) Zbl0368.62014

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