References
- Chen P, Hu TC, Liu X, et al. On complete convergence for arrays of row-wise negatively associated random variables. Theory Probab Appl. 2008;52(2):323–328.
- Shen A, Xue M, Volodin A. Complete moment convergence for arrays of rowwise NSD random variables. Stochastics. 2016;88(4):606–621.
- Wang X, Deng X, Zheng L, et al. Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications. Statistics. 2014;48(4):834–850.
- Hu TC, Chiang CY, Taylor RL. On complete convergence for arrays of rowwise m-negatively associated random variables. Nonlinear Anal. 2009;71:e1075–e1081.
- Joag-Dev K, Proschan F. Negative association of random variables, with applications. Ann Stat. 1983;11:286–295.
- Wu Y, Hu TC, Volodin A. Complete convergence and complete moment convergence for weighted sums of m-NA random variables. J Inequal Appl. 2015;2015:Article number 200.
- Hu TZ. Negatively superadditive dependence of random variables with applications. Chin J Appl Probab Stat. 2000;16:133–144.
- Moricz F. Exponential estimates for the maximum of partial sums I. Acta Math Acad Sci Hungar. 1979;33(1–2):159–167.
- Mukhopadhyay N. Probability and statistical inference. New York (NY): Marcel Dekker; 2000.
- Embrechts P, Klüppelberg C, Mikosch T. Modelling extremal events. Berlin: Springer-Verlag; 1997.
- Antoch J, Hušková M. Change-point problem and bootstrap. J Nonparametr Stat. 1995;5:123–144.
- Antoch J, Hušková M, Prášková Z. Effect of dependence on statistics for determination of change. J Stat Plann Inference. 1997;60:291–310.
- Csörgö M, Horváth L. Limit theorems in change-point analysis. Chichester: John Wiley & Sons; 1997.
- Kokoszka P, Leipus R. Change-point in the mean of dependent observations. Stat Probab Lett. 1998;40:385–393.
- Hsu PL, Robbins H. Complete convergence and the law of large numbers. Proc Natl Acad Sci USA. 1947;33(2):25–31.
- Chow YS, Teicher H. Probability theory: independence, interchangeability, martingales. 3rd ed. New York (NY): Springer-Verlag; 1997.
- Shi XP, Wu YH, Miao BQ. Strong convergence rate of estimators of change point and its application. Comput Stat Data Anal. 2009;53:990–998.
- Hu TC, Moricz F, Taylor RL. Strong laws of large numbers for arrays of rowwise independent random variables. Acta Math Hungar. 1989;54(1–2):153–162.
- Karlin S, Rinott Y. M-matrices as covariances matrices of multinormal distributions. Linear Algebra Appl. 1983;52/53:419–438.
- Tong YL. The multivariate normal distribution. New York (NY): Springer-Verlag; 1990.