An efficient method such as ranked set sampling is used for estimating the population parameters when actual observation measurement expensive and complicated. In this paper, we consider problem of two-parameter xgamma (TPXG) distribution under well simple random design. Various estimation methods, including weighted least-square estimator, maximum likelihood estimators, Cramer–von Mises, produ...

Nowadays, Hidden Markov models are extensively utilized for modeling stochastic processes. These models help researchers establish and implement the desired theoretical foundations using Markov algorithms such as Forward one. however, Using Stability hypothesis and the mean statistic for determining the values of Markov functions on unstable statistical data set has led to a significant reducti...

nowadays, hidden markov models are extensively utilized for modeling stochastic processes. these models help researchers establish and implement the desired theoretical foundations using markov algorithms such as forward one. however, using stability hypothesis and the mean statistic for determining the values of markov functions on unstable statistical data set has led to a significant reducti...

We give the Thom polynomials for the singularities I2,2, and A3 associated with maps (C•, 0) → (C, 0) with parameter k ≥ 0. We give the Schur function expansions of these Thom polynomials. Moreover, for the singularities Ai (with any parameter k ≥ 0) we analyze the “first approximation” F (i) to the Thom polynomial. Our computations combine the characterization of Thom polynomials via the “meth...