Martingale convergence to the Poisson distribution
Časopis pro pěstování matematiky (1976)
- Volume: 101, Issue: 3, page 271-277
- ISSN: 0528-2195
Access Full Article
topHow to cite
topEagleson, G. K.. "Martingale convergence to the Poisson distribution." Časopis pro pěstování matematiky 101.3 (1976): 271-277. <http://eudml.org/doc/21286>.
@article{Eagleson1976,
author = {Eagleson, G. K.},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {3},
pages = {271-277},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Martingale convergence to the Poisson distribution},
url = {http://eudml.org/doc/21286},
volume = {101},
year = {1976},
}
TY - JOUR
AU - Eagleson, G. K.
TI - Martingale convergence to the Poisson distribution
JO - Časopis pro pěstování matematiky
PY - 1976
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 101
IS - 3
SP - 271
EP - 277
LA - eng
UR - http://eudml.org/doc/21286
ER -
References
top- Aлдa B., Зaмeчaниe к pacпpeдeлeнию Пyaccoнa, Czech. Math. J. 2 (77) 1952, 243 - 246. (1952)
- Brown B. M., Eagleson G. K., Behaviour of moments of row sums of elementary systems, Ann. Math. Statist. 41 (1970), 1853-1860. (1970) MR0295414
- Brown B. M., Eagleson G. K., Martingale convergence to infinitely divisibîe laws with finite variances, Trans. Amer. Math. Soc. I62 (1971), 449-453. (1971) MR0288806
- Freedman D., The Poisson approximation for dependent events, Ann. Prob. 2 (1974), 256-269. (1974) Zbl0301.60021MR0370694
- Gnedenko B. V., The Theory of Probability, 2nd ed. Chelsea, New York, (1962). (1962) Zbl0102.34402
- McLeish D. L., Dependent central limit thðorems and invariance principles, Ann. Prob. 2(1974), 620-628. (1974) MR0358933
- Muxaйлoв B. Г., Cxoдимocть к Пyaccoнoвcкoмy пpoцeccy в cxeмe нapacтaющиx cyмм зaвиcимыx cлyчaйныx вeличин, Teopия вepoят. и ee пpимeн. XIX (1974), 422-426. (1974)
- Pratt J. W., On interchanging limits and integrals, Ann. Math. Statist. 31 (1960), 74-77. (1960) Zbl0090.26802MR0123673
- Paйкoв Д. A., O cвязи мeждy цeнтpaльным пpeдeльным зaкoнoм тeopии вepoятнocтeй и зaкoнoм бoльшиx чиceл, Изв. A. H. CCCP, cepия мaт. (1938), 323-336. (1938)
- Ceвacmьянoв Б. A., Пpeдeльный зaкoн Пyaccoнa в cxeмe cyмм зaвиcимыx cлyчaйныx вeличин, Teopия вepoят. и ee пpимeн. XVII (1972), 733- 738. (1972)
- Scott D. J., Central limit theorems for martingales and for processes with stationary increments, using a Skorohod representation approach, Adv. Appl. Prob. 5 (1973), 119-137. (1973) MR0336775
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.