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A new Size Biased Distribution with applications in Engineering and Medical Science

A.A. Rather1 , C. Subramanian2 , S. Shafi3 , K.A. Malik4 , P.J. Ahmad5 , B.A. Para6 , T.R. Jan7

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.66-76, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.6676


Online published on Aug 31, 2018


Copyright © A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan . 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: A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan, “A new Size Biased Distribution with applications in Engineering and Medical Science,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.66-76, 2018.

MLA Style Citation: A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan "A new Size Biased Distribution with applications in Engineering and Medical Science." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 66-76.

APA Style Citation: A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan, (2018). A new Size Biased Distribution with applications in Engineering and Medical Science. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 66-76.

BibTex Style Citation:
@article{Rather_2018,
author = {A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan},
title = {A new Size Biased Distribution with applications in Engineering and Medical Science},
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 = {66-76},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=712},
doi = {https://doi.org/10.26438/ijcse/v5i4.6676}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.6676}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=712
TI - A new Size Biased Distribution with applications in Engineering and Medical Science
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para , T.R. Jan
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 66-76
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this paper, we proposed a new probability model called as Size Biased Ailamujia Distribution (SBAD). Structural properties of this new distribution are discussed comprehensively. Parameter estimation along with simulation study is also discussed thoroughly. Finally, the model is examined with real life data sets for significance purpose.

Key-Words / Index Term :
Size biased distribution, Reliability, MLE, Simulation

References :
[1]. Abouammoh, A.M., Ahmed, R. and Khalique, A. (2000). On new renewal better than used classes of life distribution. Statistics and Probability Letters, 48, 189-194.
[2]. Ayesha, A. (2017). Size Biased Lindley Distribution and Its Properties a Special Case of Weighted Distribution. Applied Mathematics, 08(06), 808-819.doi:10.4236/am.2017.86063
[3]. Das, K. K., and Roy, T. B. (2011). Applicability of Length Biased Weighted Generalized Rayleigh Distribution, Advances in Applied Science Research, 2011, 2 (4), 320-327.
[4]. Gove, J. H. (2003). Environmental and Ecological Statistics, 10(4), 455-467. doi:10.1023/a:1026000505636
[5]. Lawless JF (2003) Statistical models and methods for lifetime data. John Wiley and Sons, New York, USA.
[6]. Lv H. Q., Gao L. H., Chen C. L. (2002). Эрланга distribution and its application in supportability data analysis. Journal of Academy of Armored Force Engineering, 16(3): 48-52.
[7]. Patil, G.P. and Ord, J.K. (1976) On size-biased sampling and related form-invariant weighted distributions. Sankhya, Series B, 38(1), 48-61.
[8]. Rama Shankar (2017), A Size-Biased Poisson-Shanker Distribution and Its Applications. International Journal of Probability and Statistics,6(3):33-44
[9]. Shanker, R., & Shukla, K. K. (2018). A Generalized Size-Biased Poisson-Lindley Distribution and Its Applications to Model Size Distribution of Freely-Forming Small Group. Journal of Scientific Research, 10(2), 145. doi:10.3329/jsr.v10i2.34905
[10]. Warren, W. G. (1975). Statistical Distributions in Forestry and Forest Products Research. A Modern Course on Statistical Distributions in Scientific Work, 369-384. doi:10.1007/978-94-010-1845-6_27

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