A MODIFIED CLASS OF DUAL TO RATIO-TYPE ESTIMATORS FOR ESTIMATING THE POPULATION VARIANCE UNDER SIMPLE RANDOM SAMPLING SCHEME AND ITS APPLICATION TO REAL DATA

被引:0
|
作者
Riyaz, Saba [1 ]
Jan, Rafia [1 ]
Maqbool, Showkat [2 ]
Rather, Khalid Ul Islam [3 ]
Jan, T. R. [1 ]
机构
[1] Univ Kashmir, Dept Stat, Srinagar 190006, India
[2] Sher E Kashmir Univ Agr Sci & Technol Kashmir, Div AGB, Srinagar 191202, India
[3] Sher E Kashmir Univ Agr Sci & Technol Jammu, Div Stat & Comp Sci, Main Campus SKUAST J, Chatha Jammu 180009, India
来源
关键词
auxiliary variable; dual to ratio-type estimators; mean square error;
D O I
10.46939/J.Sci.Arts-22.3-a06
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This work is an extension to the work of [1] on ratio estimators of variance, by modification using dual to ratio method. The consistency conditions, bias, mean square error, optimum mean square error and efficiency have been derived and its performance is illustrated using natural populations. It is observed that the proposed class of estimators is most efficient at its optimum value, due to highest percent relative efficiency generated by it, when compared to the usual unbiased estimator for variance.
引用
收藏
页码:593 / 604
页数:12
相关论文
共 50 条
  • [1] Robust ratio-type estimators in simple random sampling
    Evrim Oral
    Cem Kadilar
    [J]. Journal of the Korean Statistical Society, 2011, 40 : 457 - 467
  • [2] Robust ratio-type estimators in simple random sampling
    Oral, Evrim
    Kadilar, Cem
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2011, 40 (04) : 457 - 467
  • [3] Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme
    Khan, Mursala
    Ullah, Saif
    Al-Hossain, Abdullah Y.
    Bashir, Neelam
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (04): : 923 - 931
  • [4] Memory type general class of estimators for population variance under simple random sampling
    Kumar, Anoop
    Anshika
    Emam, Walid
    Tashkandy, Yusra
    [J]. HELIYON, 2024, 10 (16)
  • [5] A class of hybrid type estimators for variance of a finite population in simple random sampling
    Sanaullah, Aamir
    Niaz, Iqra
    Shabbir, Javid
    Ehsan, Iqra
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2022, 51 (10) : 5609 - 5619
  • [6] Ratio estimators for the population variance in simple and stratified random sampling
    Kadilar, C
    Cingi, H
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (02) : 1047 - 1059
  • [7] Separate Ratio-type Estimators of Population Mean in Stratified Random Sampling
    Tailor, Rajesh
    Lone, Hilal A.
    [J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2014, 13 (01) : 223 - 233
  • [8] Robust ratio-type estimators for finite population mean in simple random sampling: A simulation study
    Zaman, Tolga
    Bulut, Hasan
    Yadav, Subhash Kumar
    [J]. CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE, 2022, 34 (25):
  • [9] A Class of Estimators of Finite Population Variance in Simple Random Sampling
    Koyuncu, Nursel
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [10] ENHANCED ESTIMATION OF POPULATION VARIANCE UNDER SIMPLE RANDOM SAMPLING WITH AN APPLICATION TO REAL DATA
    Kumar, Anoop
    Suhail, Rida
    Katara, Shubhra
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2024, 20 (01): : 87 - 96