An expectation conditional maximization algorithm for the skew-normal based stochastic frontier model

被引:0
|
作者
Zhu, Xiaonan [1 ]
Wei, Zheng [2 ]
Wang, Tonghui [3 ]
Choy, S. T. Boris [4 ]
Ma, Ziwei [5 ]
机构
[1] Univ North Alabama, Dept Math, Florence, AL USA
[2] Texas A&M Univ Corpus Christi, Dept Math & Stat, Corpus Christi, TX 78412 USA
[3] New Mexico State Univ, Dept Math Sci, Las Cruces, NM USA
[4] Univ Sydney, Discipline Business Analyt, Sydney, NSW, Australia
[5] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN USA
关键词
ECM algorithm; Maximum likelihood; Stochastic frontier model; Skew-normal distribution; Truncated normal distribution; MAXIMUM-LIKELIHOOD-ESTIMATION; WINSORIZED MEANS; QUADRATIC-FORMS; SPECIFICATION; DISTRIBUTIONS;
D O I
10.1007/s00180-023-01356-2
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
In this paper, a feasible expectation-conditional-maximization (ECM) algorithm is developed for finding the maximum likelihood estimates of parameters of the skew-normal based stochastic frontier model. The closed-form formulas for updating parameters in CM-steps are derived. The proposed methodology is illustrated with simulations and a real data example, where we find the new ECM algorithm outperforms the numerical approach adopted in the previous study.
引用
收藏
页码:1539 / 1558
页数:20
相关论文
共 50 条
  • [31] Some stochastic orderings of multivariate skew-normal random vectors
    Li, Xueyan
    Yin, Chuancun
    [J]. AIMS MATHEMATICS, 2023, 8 (10): : 23427 - 23441
  • [32] Generalized skew-normal distribution model of partition curves based on quartile
    Fan, Minqiang
    Luo, Canjin
    [J]. INTERNATIONAL JOURNAL OF COAL PREPARATION AND UTILIZATION, 2022, 42 (07) : 2219 - 2231
  • [33] Data projections by skewness maximization under scale mixtures of skew-normal vectors
    Arevalillo, Jorge M.
    Navarro, Hilario
    [J]. ADVANCES IN DATA ANALYSIS AND CLASSIFICATION, 2020, 14 (02) : 435 - 461
  • [34] Data projections by skewness maximization under scale mixtures of skew-normal vectors
    Jorge M. Arevalillo
    Hilario Navarro
    [J]. Advances in Data Analysis and Classification, 2020, 14 : 435 - 461
  • [35] A stochastic version of Expectation Maximization algorithm for better estimation of Hidden Markov Model
    Huda, Shamsul
    Yearwood, John
    Togneri, Roberto
    [J]. PATTERN RECOGNITION LETTERS, 2009, 30 (14) : 1301 - 1309
  • [36] Change Point Detection in The Skew-Normal Model Parameters
    Arellano-Valle, Reinaldo B.
    Castro, Luis M.
    Loschi, Rosangela H.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (04) : 603 - 618
  • [37] Statistical compact model extraction for skew-normal distributions
    Revanth, Koduru
    Janakiraman, Viraraghavan
    [J]. IET CIRCUITS DEVICES & SYSTEMS, 2020, 14 (05) : 576 - 585
  • [38] A Synthetic Algorithm on the Skew-Normal Decomposition for Satellite LiDAR Waveforms
    Zhu, Tianhao
    Zhou, Hui
    Ma, Yue
    Li, Song
    Chen, Yuwei
    [J]. IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2022, 60
  • [39] A new spatial skew-normal random field model
    Allard, Denis
    Naveau, Philippe
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (9-12) : 1821 - 1834
  • [40] Extensions of the skew-normal ogive item response model
    Bazan, Jorge Luis
    Branco, Marcia D.
    Bolfarine, Heleno
    [J]. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2014, 28 (01) : 1 - 23