Winnicki,J.(1991): Estimation of variances in the branching process with immigration, Probability Theory and Related Fields, 88, No.1, 77-106. K.B. Athreya Departments of Mathematics and Statistics  Home/Search   Document Not in Database   Summary   Related Articles   Check

.... 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 population with ....

Winnicki,J.(1991): Estimation of variances in the branching process with immigration, Probability Theory and Related Fields, 88, No.1, 77-106. K.B. Athreya Departments of Mathematics and Statistics

.... theory for discrete time branching 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 ....

Winnicki, J. (1991) Estimation of the variances in the branching process with immigration. Prob. Ther. 88, 77--106.

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