TAILIEUCHUNG - Differential calculus notes on wrapped exponential distribution

This work considers the generation of ordinary differential equations whose solutions are the probability functions of wrapped exponential distribution. This will help in understanding the nature of exponential distribution when wrapped in a circle. | Differential calculus notes on wrapped exponential distribution International Journal of Mechanical Engineering and Technology IJMET Volume 10 Issue 03 March 2019 pp. 1313-1325. Article ID IJMET_10_03_133 Available online at http ijmet JType IJMET amp VType 10 amp IType 3 ISSN Print 0976-6340 and ISSN Online 0976-6359 IAEME Publication Scopus Indexed DIFFERENTIAL CALCULUS NOTES ON WRAPPED EXPONENTIAL DISTRIBUTION Hilary I. Okagbue Department of Mathematics Covenant University Ota Nigeria Sheila A. Bishop Department of Mathematics Covenant University Ota Nigeria Pelumi E. Oguntunde Department of Mathematics Covenant University Ota Nigeria Abiodun A. Opanuga Department of Mathematics Covenant University Ota Nigeria Ogbu F. Imaga Department of Mathematics Covenant University Ota Nigeria Olasunmbo O. Agboola Department of Mathematics Covenant University Ota Nigeria. ABSTRACT Wrapped probability distributions are used in modeling circular data arising from physical medical and social sciences. Wrapped exponential distribution is obtained from wrapping exponential distribution in a unit sphere. This work considers the generation of ordinary differential equations whose solutions are the probability functions of wrapped exponential distribution. This will help in understanding the nature of exponential distribution when wrapped in a circle. Different methods can be used in obtaining the solutions to the differential equations generated from the process. Some unique patterns were observed which can channel research activities towards the area. In conclusion some expressions were obtained that link the probability functions with their respective derivatives. Keywords Wrapped exponential distribution differential calculus ordinary differential equations survival function hazard function odds function. http IJMET 1313 editor@ Hilary I. Okagbue Sheila A. Bishop Pelumi E. Oguntunde Abiodun A. Opanuga Ogbu F. Imaga and

• Cơ khí - Chế tạo máy
• Generation of ordinary differential equations
• Wrapped exponential distribution
• Nature of exponential distribution
• Wrapped probability distributions
• Entropy of wrapped distributions