### Citations

2361 | An Introduction to Probability Theory and - Feller |

921 | The advanced theory of statistics - Kendall, Stuart - 1946 |

501 | On a measure of lack of fit in time series models. - Ljung, Box - 1978 |

398 | Approximate Is Better Than” Exact” for Interval Estimation of Binomial Proportions - Agresti, Coull - 1998 |

189 | Interval Estimation for a Binomial Proportion
- Brown, Cai, et al.
(Show Context)
Citation Context ...) < 0 and b(n − 1) > 1.9 3. Desiderata for interval estimators of p Some properties generally considered desirable for interval estimators [a(X), b(X)] of the binomial p (e.g. Blyth and Still, 1983; =-=Brown et al. 2001-=-, 2002), are as follows: 1. Equivariance. For any X = 0, 1, ..., n, a(n − X) = 1 − b(X), b(n − X) = 1 − a(X). All intervals mentioned in this handout are equivariant. 2. Monotonicity. a(X) and b(X) sh... |

86 | On the distribution of the number of successes in independent trials - Hoeffding - 1956 |

77 | The central limit theorem for dependent random variables - Hoeffding, Robbins - 1948 |

60 |
Binomial confidence intervals.
- Blyth, Still
- 1983
(Show Context)
Citation Context ... n ≥ 2 we will have a(1) < 0 and b(n − 1) > 1.9 3. Desiderata for interval estimators of p Some properties generally considered desirable for interval estimators [a(X), b(X)] of the binomial p (e.g. =-=Blyth and Still, 1983-=-; Brown et al. 2001, 2002), are as follows: 1. Equivariance. For any X = 0, 1, ..., n, a(n − X) = 1 − b(X), b(n − X) = 1 − a(X). All intervals mentioned in this handout are equivariant. 2. Monotonicit... |

41 | Monotone convergence of binomial probabilities and a generalization of Ramanujan’s equation - Jogdeo, Samuels - 1968 |

40 | Confidence intervals for a binomial proportion and asymptotic - Brown, Cai, et al. - 2002 |

26 | A central limit theorem for m-dependent random variables with unbounded m. The Annals of Probability, - Berk - 1973 |

15 | A central limit theorem for m-dependent random variables - Orey - 1958 |

14 | The central limit theorems for m-dependent variables asymptotically stationary to second order. - Diananda - 1954 |

9 | On the normal approximation to the binomial distribution - Feller - 1945 |

7 | The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan - Cheng - 1949 |

4 | Some inequalities among binomial and Poisson probabilities - Anderson, Samuelr |

1 | Exposition of T. T. Cheng’s Edgeworth approximation of the Poisson distribution, improved. Unpublished manuscript - Dudley - 2009 |