Bicomplex Mittag-Leffler Distribution
Dharmendra Kumar Singh, Chinmay Sharma
TL;DR
This paper introduces a new bicomplex Mittag-Leffler distribution, extending probability distribution theory with applications in physics and signal processing, and explores its statistical properties.
Contribution
It develops the bicomplex Mittag-Leffler distribution theory and derives its moment-generating function, moments, mean, and variance.
Findings
Derived the moment-generating function of the distribution
Calculated the first four moments, mean, and variance
Established the theoretical foundation for applications in physics and signal processing
Abstract
Probability distribution theory helps in studying the impact of various dimensions in life while the Mittag-Leffler function and bicomplex are used in electromagnetism, quantum mechanics, and signal theory. Considering the importance of both, the purpose of this paper is to introduce bicomplex Mittag-Leffler distribution theory with the help of the bicomplex Mittag-Leffler function. Moreover, it also tells us about the moment-generating function, the first four moments, the mean, and the variance of this endeavor.
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Taxonomy
TopicsBayesian Methods and Mixture Models