Moment estimation based on quantiles

被引:2
|
作者
Ren, Haobo [1 ]
Shen, Weining [2 ]
Wu, Richard [1 ]
Soo, Yuhwen [1 ]
机构
[1] Regeneron Pharmaceut Inc, Basking Ridge, NJ 07920 USA
[2] North Carolina State Univ, Dept Stat, Raleigh, NC 27695 USA
关键词
generalized; distribution; moment estimation; quantile;
D O I
10.1002/wics.1267
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 consider a moment estimation problem using empirical quantiles of the data. Specifically, we estimate the sample mean and the variance based only on the minimum, the quartiles, the median and the maximum values of the data. We propose a computational solution based on fitting a refined version of a generalized. distribution. Simulation results suggest that our method works reasonably well for a wide range of distributions. (C) 2013 Wiley Periodicals, Inc.
引用
收藏
页码:387 / 390
页数:4
相关论文
共 50 条
  • [21] Estimation of extreme conditional quantiles through an extrapolation of intermediate regression quantiles
    He, Fengyang
    Cheng, Yebin
    Tong, Tiejun
    STATISTICS & PROBABILITY LETTERS, 2016, 113 : 30 - 37
  • [22] Adaptive Testing Based on Moment Estimation
    Xiao, Peng
    Yin, Yongfeng
    Liu, Bin
    Jiang, Bo
    Malaiya, Yashwant K.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (03): : 911 - 922
  • [23] Generalized moment based estimation and inference
    van Akkeren, M
    Judge, G
    Mittelhammer, R
    JOURNAL OF ECONOMETRICS, 2002, 107 (1-2) : 127 - 148
  • [24] QMLE: Fast, robust, and efficient estimation of distribution functions based on quantiles
    Scott Brown
    Andrew Heathcote
    Behavior Research Methods, Instruments, & Computers, 2003, 35 : 485 - 492
  • [25] Point estimation of lower quantiles based on two-sampling scheme
    Morabbi, H.
    Razmkhah, M.
    Ahmadi, Jafar
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (13) : 4018 - 4034
  • [26] Confidence Interval Estimation for Precipitation Quantiles Based on Principle of Maximum Entropy
    Wei, Ting
    Song, Songbai
    ENTROPY, 2019, 21 (03)
  • [27] Design-based estimation for geometric quantiles with application to outlier detection
    Chaouch, Mohamed
    Goga, Camelia
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2010, 54 (10) : 2214 - 2229
  • [28] QMLE: Fast, robust, and efficient estimation of distribution functions based on quantiles
    Brown, S
    Heathcote, A
    BEHAVIOR RESEARCH METHODS INSTRUMENTS & COMPUTERS, 2003, 35 (04): : 485 - 492
  • [29] ESTIMATION OF EXTREME QUANTILES BASED ON SENSITIVITY TESTS - A COMPARATIVE-STUDY
    YOUNG, LJ
    EASTERLING, RG
    TECHNOMETRICS, 1994, 36 (01) : 48 - 60
  • [30] EVT-BASED ESTIMATION OF RISK CAPITAL AND CONVERGENCE OF HIGH QUANTILES
    Degen, Matthias
    Embrechts, Paul
    ADVANCES IN APPLIED PROBABILITY, 2008, 40 (03) : 696 - 715