Complete convergence theorems for Lp-mixingales

[1]  H Robbins,et al.  Complete Convergence and the Law of Large Numbers. , 1947, Proceedings of the National Academy of Sciences of the United States of America.

[2]  M. Katz,et al.  The Probability in the Tail of a Distribution , 1963 .

[3]  Leonard E. Baum,et al.  Convergence rates in the law of large numbers , 1965 .

[4]  D. McLeish A Maximal Inequality and Dependent Strong Laws , 1975 .

[5]  D. McLeish Invariance principles for dependent variables , 1975 .

[6]  D. McLeish On the Invariance Principle for Nonstationary Mixingales , 1977 .

[7]  R. Laha Probability Theory , 1979 .

[8]  Tail probabilities of sums of random vectors in banach spaces, and related mixed norms , 1980 .

[9]  P. Hall,et al.  Martingale Limit Theory and Its Application , 1980 .

[10]  H. Berbee,et al.  Convergence rates in the strong law for bounded mixing sequences , 1984 .

[11]  Su Chun,et al.  THE COMPLETE CONVERGENCE FOR PARTIAL SUMS OF IID RANDOM VARIABLES , 1985 .

[12]  H. White,et al.  A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models , 1988 .

[13]  D. Andrews Laws of Large Numbers for Dependent Non-Identically Distributed Random Variables , 1988, Econometric Theory.

[14]  On operator-valued mixingales , 1989 .

[15]  K. Yu Complete convergence of weighted sums of martingale differences , 1990 .

[16]  Bruce E. Hansen,et al.  Strong Laws for Dependent Heterogeneous Processes , 1991, Econometric Theory.

[17]  Sadayuki Sato,et al.  On the Rising Prices in the Post-war Capitalist Economy , 1991 .

[18]  J. Davidson An L1-convergence theorem for heterogeneous mixingale arrays with trending moments , 1993 .

[19]  Complete convergence for α-mixing sequences , 1993 .

[20]  J. Davidson Stochastic Limit Theory , 1994 .

[21]  R. M. Jong,et al.  Laws of Large Numbers for Dependent Heterogeneous Processes , 1995, Econometric Theory.

[22]  Emmanuel Rio,et al.  A Maximal Inequality and Dependent Marcinkiewicz-Zygmund Strong Laws , 1995 .

[23]  A Weak Convergence Theorem for Mixingale Arrays , 1995 .

[24]  Ergodic properties of conditional forecast functions of stable systems , 1996 .

[25]  Xiaohong Chen,et al.  Laws of Large Numbers for Hilbert Space-Valued Mixingales with Applications , 1996, Econometric Theory.

[26]  Robert M. de Jong,et al.  A strong law of large numbers for triangular mixingale arrays , 1996 .

[27]  R. Jong Central Limit Theorems for Dependent Heterogeneous Random Variables , 1997, Econometric Theory.

[28]  J. Davidson,et al.  Strong laws of large numbers for dependent heterogeneous processes: a synthesis of recent and new results , 1997 .

[29]  Complete convergence for B-valued Lp-mixingale sequences , 1998 .

[30]  R. Jong WEAK LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES , 1998 .

[31]  Gan Shixin On the Convergence of Weighted Sums of Lq-Mixingale Arrays , 1999 .

[32]  An invariance principle for triangular arrays of dependent variables with application to autocovariance estimation , 1999 .

[33]  A general approach to the strong laws of large numbers@@@A general approach to the strong laws of large numbers , 2000 .

[34]  On complete convergence for Lp-mixingales , 2000 .

[35]  Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space@@@Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space , 2001 .

[36]  H. Haario,et al.  An adaptive Metropolis algorithm , 2001 .

[37]  István Fazekas,et al.  A General Approach to the Strong Law of Large Numbers , 2001 .

[38]  Gan Shixin Strong Laws of Large Numbers for B-Valued Lq-Mixingale Sequences and the q-Smoothness of Banach Space , 2002 .