LIMIT LAWS FOR A STOCHASTIC-PROCESS AND RANDOM RECURSION ARISING IN PROBABILISTIC MODELING

被引:24
作者
RACHEV, ST [1 ]
SAMORODNITSKY, G [1 ]
机构
[1] CORNELL UNIV, ORIE, ITHACA, NY 14853 USA
关键词
FINANCIAL MODEL; ENVIRONMENTAL PROCESSES; DISASTROUS EVENT; LIMIT THEOREM; LIMITING DISTRIBUTION; INFINITELY DIVISIBLE DISTRIBUTION; STABLE DISTRIBUTION; GEOMETRIC STABLE DISTRIBUTION; RATE OF CONVERGENCE;
D O I
10.2307/1428103
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We study certain stochastic processes arising in probabilistic modelling. We discuss the limit behavior of these processes and estimate the rate of convergence to the limit.
引用
收藏
页码:185 / 202
页数:18
相关论文
共 40 条
[1]  
[Anonymous], 1991, STABLE PROCESSES REL
[2]  
Billingsley P., 2013, WILEY SERIES PROBABI
[4]  
BRANDT A, 1990, STATIONARY STOCHASTI
[5]   MODELS FOR CULTURAL INHERITANCE .1. GROUP MEAN AND WITHIN GROUP VARIATION [J].
CAVALLISFORZA, L ;
FELDMAN, MW .
THEORETICAL POPULATION BIOLOGY, 1973, 4 (01) :42-55
[6]  
CAVALLISFORZA LL, 1975, ADV APPL PROBAB, P90
[7]   THE THEORY OF THE FLUCTUATIONS IN BRIGHTNESS OF THE MILKY WAY .1. [J].
CHANDRASEKHAR, S ;
MUNCH, G .
ASTROPHYSICAL JOURNAL, 1950, 112 (03) :380-392
[8]   A TIME-REVERSIBILITY RELATIONSHIP BETWEEN 2 MARKOV-CHAINS WITH EXPONENTIAL STATIONARY DISTRIBUTIONS [J].
CHERNICK, MR ;
DALEY, DJ ;
LITTLEJOHN, RP .
JOURNAL OF APPLIED PROBABILITY, 1988, 25 (02) :418-422
[9]   ESTIMATES OF THE RATE OF CONVERGENCE FOR MAX-STABLE PROCESSES [J].
DEHAAN, L ;
RACHEV, ST .
ANNALS OF PROBABILITY, 1989, 17 (02) :651-677
[10]   EXTREMAL BEHAVIOR OF SOLUTIONS TO A STOCHASTIC DIFFERENCE EQUATION WITH APPLICATIONS TO ARCH PROCESSES [J].
DEHAAN, L ;
RESNICK, SI ;
ROOTZEN, H ;
DEVRIES, CG .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1989, 32 (02) :213-224