• Dr. Manish Aghi

For different types of toric Fano models, we investigate the maximum likelihood estimation issue. To begin, we investigate the maximum probability degree for all Gorenstein toric Fano variations in dimension 2. We prove that, with the exception of the quintic del Pezzo surface with two ordinary double points, the ML degree equals the surface degree, and we provide explicit formulae for computing the maximum likelihood estimate in closed form whenever the ML degree is less than 5. We then use A-discriminants and interse to inquire into the causes of the ML degree decline. In this article, we survey the state of knowledge about Markov chains as toric statistical models. In it, you'll find a variety of things, including some history, findings from the most up-to-date literature, findings from your own research, and ongoing projects. In this study, we'll look at several optional side steps along the road to algebraic statistics. It provides a decoupled basis for algebraic models with the goal of enhancing the statistical inference instruments necessary for analysing genomes. In addition, this study provides an in-depth look of Markov models and graphical models.

Graphical, Markov, Statistical, Toric

"ALGEBRAIC STATISTICS & COMPUTATIONAL TECHNIQUES IN TORIC SURFACE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 10, page no.150-156, October-2022, Available :http://www.jetir.org/papers/JETIRFU06018.pdf

"ALGEBRAIC STATISTICS & COMPUTATIONAL TECHNIQUES IN TORIC SURFACE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.9, Issue 10, page no. pp150-156, October-2022, Available at : http://www.jetir.org/papers/JETIRFU06018.pdf