| Wei,C.Z. and Winnicki,J.(1990): Estimation of means in the branching process with immigration, Annals of Statistics, No. 4, 1757-1773. |
.... behavior of the process.The statistical problem of estimating the mean m and other parameters of a supercritical branching process has received considerable attention in the literature; for a classical treatment of the problem refer to the book of Guttorp [37] More recently, Wei and Winnicki [61],Winnicki [62] Sriram, et.al. 57] and Datta and Sriram [35] investigated the estimation of m from a branching process with immigration. Applications in the context of polymerase chain reaction have been investigatedby Sun and Waterman [58] 3 Branching Process: Multitype Case Consider now a ....
Wei,C.Z. and Winnicki,J.(1990): Estimation of means in the branching process with immigration, Annals of Statistics, No. 4, 1757-1773.
.... processes with migration has been until now mainly devoted to branching processes with immigration when the immigration is independent of reproduction (Heyde and Seneta ( 20] and [21] Quine [26] Bhat and Adke [4] Ventakamaran [31] Winnicki ( 34] and [35] Hudson [24] Wei and Winnicki [32], Wei [33] Sriram [29] Sriram et al. [30] Guttorp [15] Dion and Yanev [8] In the case of state dependent immigration most of the works concern limit theorems (Foster [13] Pakes [25] Yanev and Yanev [36] Rahimov [28] and only a few people have studied the estimation problems for these ....
Wei, C.Z. and Winnicki, J. (1990) Estimation of the means in the branching process with immigration. Ann. Statist. 18, 1757--1773.
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