What do angles of cornea curvature reveal? a new (Sinusoidal) probability density function with statistical properties assists
by Ramalingam Shanmugam
International Journal of Data Science (IJDS), Vol. 5, No. 1, 2020

Abstract: This paper introduces a new probability distribution with statistical properties. It is named Sinusoidal probability distribution (SPD). The paper demonstrates an approach to analyse cornea angles' curvature as it happened among the 23 patients in a glaucoma clinic. Expressions are derived for survival and odds functions, their tipping points, its convexity, Q-Q plotting positions, variance-mean relation, heterogeneity among cornea patients, vitality function, total value at risk, past life function, entropy, hazard, inverse, and mean functions. The minimum and maximum sample values are shown to be the maximum likelihood estimators of the parameters of SPD. The joint probability density function for the lower and upper record values of a sample from SPD with their correlation function is derived and utilised to better understand the implications of the measured cornea angles. A few comments are made in the end to further advance the research in cornea illness.

Online publication date: Thu, 10-Sep-2020

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Data Science (IJDS):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?


Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com