Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions

Sayfa
1505–1521
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our approaches are applied to an analysis of a real data set from rainfall in regions of Thailand.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Novel approaches were proposed for constructing simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions, using the method of variance estimates recovery (MOVER) approach and the computational approach.
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Temel Bulgular & Veri:Niwitpong, Simultaneous fiducial generalized confidence intervals for all differences of coefficients of variation of log-normal distributions, Lecture Notes in Artificial Intelligence, 2016).
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Sonuç & Katkı:Our approaches are applied to an analysis of a real data set from rainfall in regions of Thailand.
🔬Tür:Araştırma Makalesi
📍Kapsam:2016 Verileri
⚙️Değişkenler:average length · computational approach · coverage probability

Abstract

Novel approaches were proposed for constructing simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions, using the method of variance estimates recovery (MOVER) approach and the computational approach. They are then compared with the fiducial generalized confidence interval (FGCI) approach which was presented by (W. Thangjai, S. Niwitpong and S. Niwitpong, Simultaneous fiducial generalized confidence intervals for all differences of coefficients of variation of log-normal distributions, Lecture Notes in Artificial Intelligence, 2016). A Monte Carlo simulation was conducted to compare the performances of these simultaneous confidence intervals based on the coverage probability and average length. Simulation results show that the MOVER approach is satisfactory performances for all sample case ($k$) and sample size ($n$). Moreover, the computational approach performs as well as the MOVER approach when the sample size is large. Our approaches are applied to an analysis of a real data set from rainfall in regions of Thailand.

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Bu Makaleye Atıf Yap

Thangjai, W., Niwitpong, S., Niwitpong, S. (2022). Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1505–1521. https://ajindex.com/articles/529748

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Kaynakça (15)

  1. A.H. Abdel-Karim, Construction of simultaneous confidence intervals for ratios of means of lognormal distributions, Comm. Statist. Simulation Comput. 44 (2), 271- 283, 2015
  2. S. Aghadoust, K. Abdollahnezhad, F. Yaghmaei and A.A. Jafari, Comparison of some different methods for hypothesis test of means of log-normal populations, arXiv:1508.01782v1 [stat.ME], 2015
  3. R. Ananthakrishnan and K. Soman, Statistical distribution of daily rainfall and its association with the coefficient of variation of rainfall series, Int. J. Climatol. 9 (5), 485-500, 1989
  4. H.K. Cho, K.P. Bowman and G.R. North, A comparison of gamma and lognormal distributions for characterizing satellite rain rates from the tropical rainfall measuring mission, J. Appl. Meteor. 43 (11), 1586-1597, 2004
  5. P. De, J.B. Ghosh and C.E. Wells, Scheduling to minimize the coefficient of variation, Int. J. Production Economics 44 (3), 249-253, 1996
  6. A. Donner and G.Y. Zou, Closed-form confidence intervals for function of the normal standard deviation, Stat. Methods Med. Res. 21 (4), 347-359, 2010
  7. E.Y. Gokpinar, E. Polat, F. Gokpinar and S. Gunay, A new computational approach for testing equality of inverse Gaussian means under heterogeneity, Hacet. J. Math. Stat. 42 (5), 581-590, 2013
  8. F. Gokpinar and E. Gokpinar, A computational approach for testing equality of coef- ficients of variation in k normal populations, Hacet. J. Math. Stat. 44 (5), 1197-1213, 2015
  9. J. Hannig, H. Iyer and P. Patterson, Fiducial generalized confidence intervals, J. Amer. Statist. Assoc. 101 (473), 254-269, 2006
  10. J. Hannig, E. Lidong, A. Abdel-Karim and H. Iyer, Simultaneous fiducial generalized confidence intervals for ratios of means of lognormal distributions, Austrian J. Stat. 35 (2&3), 261-269, 2006
  11. M.S. Hasan and K. Krishnamoorthy, Improved confidence intervals for the ratio of coefficients of variation of two lognormal distributions, J. Stat. Theory Appl. 16 (3), 345-353, 2017
  12. A.A. Jafari and K. Abdollahnezhad, Inferences on the means of two log-normal dis- tributions: A computational approach test, Comm. Statist. Simulation Comput. 44 (7), 1659-1672, 2015
  13. S.A. Joulious and C.A.M. Debarnot, Why are pharmacokinetics data summarize by arithmetic means?, J. Biopharm. Stat. 10 (1), 55-71, 2000
  14. A.L. Koch, The logarithm in biology, J. Theor. Biol. 12 (2), 276-290, 1966
  15. J.M. Nam and D. Kwon, Inference on the ratio of two coefficients of variation of two lognorma