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 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 PDFBibTeX XMLCite \textit{B. G. Ivanoff}, Can. J. Stat. 8, 179--191 (1980; Zbl 0467.60009) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.