A τ-Power Stochastic Rayleigh Diffusion Model: Computational Aspects, Simulation and Predictive Analysis
-
Yassine Chakroune
,
Abdenbi El Azri
and
Ahmed Nafidi
Abstract
The overall idea of this paper is to introduce a new family of inhomogeneous stochastic Rayleigh diffusion processes and use them to predict and forecast simulated data after establishing the main characteristics of these kinds of processes. They are interesting models for infectious diseases, health and renewable energies. First of all, we define the new processes by means of a τ-power of the stochastic Rayleigh diffusion model. Then the most important features of the process are examined, with particular attention to its analytic expression, transition probability density function and mean functions. Otherwise, the parameters that appear in the present model are estimated by maximum likelihood with discrete sampling. Lastly, in order to assess the quality of this process, we will use these statistical computations for simulated examples, specifying fitting and prediction possibilities.
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Articles in the same Issue
- Frontmatter
- Classical and Bayesian Estimation of PCI 𝒞pc Using Power Generalized Weibull Distribution
- A τ-Power Stochastic Rayleigh Diffusion Model: Computational Aspects, Simulation and Predictive Analysis
- Acceptance Sampling Plans for Truncated Life Tests Using the Marshall–Olkin Birnbaum–Saunders Distribution
- The EWMA Wilcoxon Signed-Rank Chart with Variable Sampling Interval
- A New Synthetic Triple Sampling X̅ Control Chart
- From Quantile Functions to Subquantile Functions and Their Applications
Articles in the same Issue
- Frontmatter
- Classical and Bayesian Estimation of PCI 𝒞pc Using Power Generalized Weibull Distribution
- A τ-Power Stochastic Rayleigh Diffusion Model: Computational Aspects, Simulation and Predictive Analysis
- Acceptance Sampling Plans for Truncated Life Tests Using the Marshall–Olkin Birnbaum–Saunders Distribution
- The EWMA Wilcoxon Signed-Rank Chart with Variable Sampling Interval
- A New Synthetic Triple Sampling X̅ Control Chart
- From Quantile Functions to Subquantile Functions and Their Applications
