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Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution
Tanuja Sriwastava1 , Sandeep Mishra2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.6 , pp.143-151, Dec-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i6.143151
Online published on Dec 31, 2018
Copyright © Tanuja Sriwastava, Sandeep Mishra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Tanuja Sriwastava, Sandeep Mishra, “Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.143-151, 2018.
MLA Style Citation: Tanuja Sriwastava, Sandeep Mishra "Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 143-151.
APA Style Citation: Tanuja Sriwastava, Sandeep Mishra, (2018). Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 143-151.
BibTex Style Citation:
@article{Sriwastava_2018,
author = {Tanuja Sriwastava, Sandeep Mishra},
title = {Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {143-151},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=986},
doi = {https://doi.org/10.26438/ijcse/v5i6.143151}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.143151}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=986
TI - Effect of Presence of Outliers in the Estimate of the Parameters of a Johnson SB Distribution
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Tanuja Sriwastava, Sandeep Mishra
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 143-151
IS - 6
VL - 5
SN - 2347-2693
ER -
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Abstract :
An outlier is an observation that deviates in some sense from the rest of the observations. Outliers have strong influence on estimates of the parameters of a model that is being fitted to the data. In this paper, the effect of presence of outlying observation was studied in the estimates of the parameters of a Johnson SB distribution with slippage alternative of location parameters. The largest observation of the data was shifted towards right or the smallest observation was shifted to the left, the estimates of the parameters would be affected. Some examples are also given for highlighting the result.
Key-Words / Index Term :
Johnson SB distribution, Transformation function, Outlier, Slippage alternative, Maximum likelihood estimation, Least square estimation.
References :
George, F. and Ramachandran, K. M., (20011). Estimation of parameters of Johnson’s system of distributions. J. of Mordern Applied Statistical Methods,10(2).
Johnson, N.L. (1949). Systems of frequency curves generated by methods of translation. Biometrica, 58, 547.558.
Kudus, K.A., Ahmad, M.I. & Lapongan, J. (2011). Nonlinear regression approach to estimating Johnson S_B parameters for diameter data. Canadian Journal of Forest Research.
Parresol, B.R. (2003). Recovering parameters of Johnson’s S_B distribution. US For. Ser. Res. Paper SRS-31. 9p.
Slifker, J.F. & Shapiro, S.S. (1980). The Johnson system: selection and parameter estimation. Technometrics, 22, 239-246.
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