in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

In this paper, we established a new class of almost \((\alpha/\eta)\)-\(\psi_\Gamma\)-contraction mapping in induced fuzzy metric space (FMS) and then proved the results for existence fixed point theorem (FPT) multi-valued mappings (MVMs) on collection non-empty closed subsets. application, prove Fredholm integral inclusion (FII). An illustrative example also introduced support our main result.

We introduce statistical, conjugate connection and Hessian structures on anti-commutable pre-Leibniz algebroids. Anti-commutable algebroids are special cases of local algebroids, which still general enough to include many physically motivated such as Lie, Courant, metric higher-Courant They create a natural framework for generalizations differential geometric smooth manifold. The symmetrization...