@article{AIHPB_1982__18_2_149_0, author = {Duby, Camille and Rouault, Alain}, title = {Estimation non param\'etrique de l'esp\'erance et de la variance de la loi de reproduction d'un processus de ramification}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {18}, year = {1982}, pages = {149-163}, mrnumber = {662448}, zbl = {0484.62095}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIHPB_1982__18_2_149_0} }
Duby, Camille; Rouault, Alain. Estimation non paramétrique de l'espérance et de la variance de la loi de reproduction d'un processus de ramification. Annales de l'I.H.P. Probabilités et statistiques, Tome 18 (1982) pp. 149-163. http://gdmltest.u-ga.fr/item/AIHPB_1982__18_2_149_0/
[1] Martingale central limit theorems, Ann. Math. Stat., t. 42, 1971, p. 59-66. | MR 290428 | Zbl 0218.60048
,[2] Inference for the diffusion branching process, J. A. P., t. 12, 1975, p. 588-594. | MR 378307 | Zbl 0313.60058
, ,[3] Estimation des probabilités initiales et de la moyenne d'un processus de Galton-Watson. Thèse, Montréal, 1972.
,[4] Estimation of the variance of a branching process. Ann. Stat., t. 3, 1975, p. 1183-1187. | MR 378308 | Zbl 0359.62067
,[5] Statistical inférence in branching processes, In Branching Processes edited by Joffe and Ney. Advances in Probability and Related Topics, t. 5, 1978, M. Dekker. | MR 517532 | Zbl 0405.62070
, ,[6] 290, 1980, p. 339-341. | MR 567763 | Zbl 0434.62064
, , C. R. A. S., t.[7] Maximum-likelihood-shätzungen beim Verzweigungsprozess von Galton-Watson. Math. Operations forsch. u. Stat., t. 6, 1975, p. 213-224. | MR 400585 | Zbl 0311.62055
, ,[8] On estimating the variance of the offspring distribution in a simple branching process, Adv. in Appl. Prob., t. 6, 1974, p. 421-433. | MR 348855 | Zbl 0305.60044
,[9] On an optimal asymptotic property of the maximum likelihood estimator of a parameter from a stochastic process. Stochastic Processes and their applications, t. 8, 1978, p. 1-9. | MR 511872 | Zbl 0387.62068
,[10] Some almost sure convergence theorems for branching processes, Z. Wahrscheinlichkeitstheorie, t. 20, 1971, p. 189-192. | MR 317426 | Zbl 0212.19703
,[11] An invariance principle and some convergence rate results for branching processes. Z. Wahrscheilichkeitstheorie, t. 20, 1971, p. 271-278. | MR 310987 | Zbl 0212.49505
, ,[12] On efficiency and exponential families in stochastic process estimation. In : Statistical distributions in scientific work (ed. G. P. Patil, S. Kotz, J. K. Ord), Reidel, Dordrecht, t. 1, 1975, p. 227-240.
, ,[13] Branching processes with biological applications, Wiley, 1975. | Zbl 0356.60039
,[14] Marginal maximum likelihood estimates and estimation of the offspring mean in a branching process. Scand. J. Statist., t. 5, 1978. | MR 497064 | Zbl 0378.62074
, ,[15] Sums of independent random variables, Springer-Verlag, 1975. | MR 388499 | Zbl 0322.60042
,[16] A central limit theorem for martingales and an application to branching processes. Stochastic Processes and Their Applications, t. 6, 1978, p. 241-252. | MR 478301 | Zbl 0373.60023
,[17] Generalized maximum likelihood estimators. Theory of Prob. and its Appl., vol. XI, 1966, p. 58-80. | Zbl 0183.21202
, ,[18] On the statistics of branching processes. Theory of Prob. and its appl., t. 20, 1975, p. 612-622. | Zbl 0363.60073
,