Chitkara University Publications

A Mathematical WGED – Model Approach on Short-Term High in Density Exercise Training, Attenuated Acute Exercise – Induced Growth Hormone Response

Abstract:

In the current manuscript, we have demonstrated the recent generalization of Weibull-G exponential distribution (three-parameter) and it is a very familiar distribution as compared to other distribution.It has been found that Weibull-G exponential distribution (WGED) can be utilized pretty efficiently to evaluate the biological data in the position of gamma and log-normal Weibull distributions. It has two shape parameters and the three scale parameters namely, a, b, λ. Some of its statistical properties are acquired, which includes reserved hazard function, probability-density function, hazard-rate function and survival function. Our aim is to shore-up the results of life-time using three-parameter Weibull generalized exponential distribution. Hence, the corresponding probability functions, hazard-rate function, survival function as well as reserved hazard-rate function has been analyzed in the 3 weeks of high-intensity exercise training in short-term. The outcomes of the present study supporting the results of life-time data that the interim elevated intensity exercise activity attenuated an acute exercise induced growth hormone release.

Author(s):

M. Kaliraja, and K. Perarasan, PG and Research Department of Mathematics, H. H. The Rajah’s College, Pudukottai, Tamil Nadu, India.

DOI: 

Keywords: 

Weibull – G class, exponential distribution, Growth Hormone, GH, hazard-rate function, reservedhazard-rate function

References:

Almalki, S.J., Nadarajah, S. Modifications of the Weibull distribution: a review. Reliab. Eng. Syst. Saf., 124, pp.32-55, DOI: 10.1016/j.ress.2013.11.010.
Bourguignon, M., Silva, R.B., G. M. Cordeiro, A new class of fatigue life distributions, J. Stat. Comput. Simul, Vol. 27, issue.12, pp. 2619-2635 (2014), DOI: 10.1080/00949655.2013.799164.
Gupta, R. D., Kundu, D. Exponentiated exponential family; an alternative to gamma and Weibull. Biom. J., Vol. 43, pp. 117–130 (2001), DOI:10.1002/1521-4036(200102)43:1<117::aid-bimj117>3.0.co;2-r.
Gupta, R.D., Kundu, D. Generalized exponential distribution. Aust. N Z. J. Stat., Vol. 41, no. 2, pp. 173-88 (1999), DOI:10.1111/1467-842X.00072.
Marcelo, B. Silva, R. and Cordeiro, G. The Weibull – G Family Probability Distributions. J. Data Sci., Vol. 12, pp. 53–68 (2014), Google Scholar or Crossref.
Matheson, M.B., Cox, C., 2017. The shape of the hazard function: Does the generalized gamma have the last word. Commun. Stat. Theory Methods, 46(23), pp.11657-11666, DOI:10.1080/03610926.2016.1277757
Nasiru S., Luguterah A. The New Weibull-Pareto Distribution. Pakistan J. of Stat. and Oper. Res., 11(1): 103-114, (2016), DOI: 10.1234/pjsor.v11i1.863.
Nassar, M.M., Radwan, S.S., Elmasry, A.S., the Exponential Modified Weibull Logistic Distribution (EMWL). EPH-Int. J. Math. Stat., 4(1), pp.22-38 (2018).
Nofal, Z.M., Afify, A.Z., Yousof, H.M., Cordeiro, G.M., 2017. The generalized transmuted-G family of distributions. Commun. Stat. Theory Methods, 46(8), pp.4119-4136, DOI:10.1080/03610926.2015.1078478.
Rinne, H.The Weibull distribution: a handbook. Chapman and Hall/CRC (2008), DOI:10.1201/9781420087444.ch3.
Ritsche, K., Smith, J., Mellick, P., Wideman, L. Acute exercise-induced growth hormone is attenuated in response to short-term, high intensity exercise training. J. Exerc. Physiol. (online) 17(6): 1-12 (2014). Google Scholar or Crossref
Wais, P. Two and three-parameter Weibull distribution in available wind power analysis. Renewable energy, 103, pp.15-29 (2017), DOI: 10.1016/j.renene.2016.10.041
Weibull, W. Wide Applicability. J. appl. Mech., Vol. 40, pp. 203 –210 (1951), Google Scholar or Crossref.

 

 

0 0 votes
Article Rating
Subscribe
Notify of
0 Comments
Inline Feedbacks
View all comments
CHITKARA UNIVERSITY ADMINISTRATIVE OFFICE SARASWATI KENDRA, PO Box No. 70 SCO – 160-161,Sector – 9C, Chandigarh – 160009, India. +91-172-2741000, +91-172-4691800 chitkarauniversitypublications@chitkara.edu.in

    0
    Would love your thoughts, please comment.x
    ()
    x