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Ivanoff, B. Gail

The function space \(D([0,\infty)^ q,E)\). (English) Zbl 0467.60009

Can. J. Stat. 8, 179-191 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0467.60009

Cited in 11 Documents

MSC:

60B10 Convergence of probability measures
60G15 Gaussian processes
60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)

Keywords:

Skorokhod topology; weak convergence; tightness; Poisson cluster process
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References:

[1] Bickel, Convergence criteria for multiparameter stochastic processes and some applications, Ann. Math. Statist. 42 pp 1656– (1971) · Zbl 0265.60011
[2] Billingsley, Convergence of Probability Measures. (1968) · Zbl 0172.21201
[3] Ivanoff, The branching random field, Adv. in Appl. Probab. 12 pp 825– (1980) · Zbl 0436.60041
[4] Ivanoff, B. Gail (1981). Central limit theorems for point processes. Stochastic Process. Appl., to appear. · Zbl 0482.60049
[5] Kendall, The Advanced Theory of Statistics I (1977) · Zbl 0063.03214
[6] Lindvall, Weak convergence of probability measures and random functions in the function space D[0, ), J. Appl. Probab. 10 pp 109– (1973) · Zbl 0258.60008
[7] Moyal, The general theory of stochastic population processes, Acta Math 108 pp 1– (1962) · Zbl 0128.40302
[8] Neuhaus, On weak convergence of stochastic processes with multidimensional time parameter, Ann. Math Statist. 42 pp 1285– (1971) · Zbl 0222.60013
[9] Straf, Weak convergence of stochastic processes with several parameters, Proc. Sixth Berkeley Symp. Math Statist. Probab. 2 pp 187– (1972) · Zbl 0255.60019
[10] Westcott, On existence and mixing properties for cluster point processes, J. Roy. Statist. Soc. Ser. B 33 pp 290– (1971) · Zbl 0226.60123
[11] Whitt, Weak convergence of probability measures on the function space C[0, ), Ann. Math. Statist. 41 pp 939– (1970) · Zbl 0203.50501
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