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Transmuted Half Normal Distribution

S. Balaswamy1

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.163-170, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.163170


Online published on Aug 31, 2018


Copyright © S. Balaswamy . 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: S. Balaswamy, “Transmuted Half Normal Distribution,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.163-170, 2018.

MLA Style Citation: S. Balaswamy "Transmuted Half Normal Distribution." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 163-170.

APA Style Citation: S. Balaswamy, (2018). Transmuted Half Normal Distribution. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 163-170.

BibTex Style Citation:
@article{Balaswamy_2018,
author = {S. Balaswamy},
title = {Transmuted Half Normal Distribution},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {163-170},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=723},
doi = {https://doi.org/10.26438/ijcse/v5i4.163170}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.163170}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=723
TI - Transmuted Half Normal Distribution
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. Balaswamy
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 163-170
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
The accumulation of large amounts of data nowadays and the necessity to characterize it leads to the birth of new statistical distributions. The current paper focuses on proposing a new distribution based on the quadratic rank transmutation map using the half normal distribution. Further, properties such as moments, Estimation of parameters, order statistics are derived for the proposed distribution along with the hazard and survival functions.

Key-Words / Index Term :
Half Normal Distribution, Transmuted Distributions, Maximum Likelihood Estimation, Reliability Function, Quantile Function

References :
[1]. Ayman Alzaatreh and Kristen Knight. On The Gamma-Half Normal Distribution and Its Applications. Journal of Modern Applied Statistical Methods, 12 (2013), no. 1, 103-119.
[2]. Bland, J. M. and Altman, D. G. Measuring agreement in method comparison studies. Statistical Methods in Medical Research, 8 (1999), 135-160.
[3]. Castro, L., Gomez, H., and Valenzuela, M. (2012). Epsilon half normal model: properties and inference. Computational Statistics and Data Analysis, 56 (2012), no. 12, 4338-4347.
[4]. Shaw W.T. and Buckley I.R.C. The alchemy of probability distributions: beyond gram-charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. arXiv preprint, page arXiv:0901.0434, (2007).
[5]. Bland, J. M. The half-normal distribution method for measurement error: two case studies. Unpublished lecture available on http://wwwusers.york.ac.uk/ mb55/talks/halfnor.pdf. (2005).

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