Dear researchers , I'm a student in Master 1 (EDP) , and am a beginner in research , I have one international paper entitled " A new special function and it's application in probability " , I want people here to Give me comments to improve that research for the futur contribution in mathematics ? , Now I want theorist in probability and numerical analyis to give us any constrictive opinion about that research in all needed sides , For checking that paper via the journal webpage , just to check this link , Thanks som much for any comments or any kind of help.
Link :Article New Special Function And Its Application To Probability Theory
If you have developed a new probability density function, this first suggests that you have taken into account a new phenomenon that needs to be estimated and that is not adaptable to classical probability laws.
If so, how would it facilitate a way of life, phenomena that are difficult to measure with certainty in the present, and that merits the trouble of evaluating its chances of being realized?
Or, what information or role does it assume in other disciplines: in medicine, physics, statistics, demography, risks, etc.?
Science is a kind of molecule, that is to say, which attaches, although it is specific, to other external notions. In this case, how to adapt this theory in others to facilitate its application in the real world.
Yet another example, to support the thesis that I expressed myself previously. It is fundamentally important in mathematics the interconnection of great mathematical ideas. This is the case of VILLANI; TERENCE; PERELEMAN ... etc.
It is now known that there is a relationship between optimal transport (Monge-Kontorovich); Ricci curvature and some Riemmanian problem. Through the metric spaces with curvature of Ricci Minus, this mathematical fantasy becomes a reality. We resort to probability, convexity; covariance, the jacobian matrix, sobelev inequality, theorems very varied of several mathematical contributions on the same subjects ... etc.
As here with Villani's works, if you manage to relate connected notions; this may be worth a field medal for the next award ceremony scheduled for 2022 (you have plenty of time to philosophize to go far).
Thanks dr for your constrictive comments , May i will find such example of application of that new special function in medcin and physics such as the computation of Einstein energy kinetic ,....
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