In this paper, the reliability of stress-strength model is derived for probability P( <X< ) a component strength X between two stresses , when and are independent Gompertz Fréchet distribution with unknown known shape parameters common scale parameters. Different methods used to estimate R which [Maximum Likelihood, Least square, Weighted Regression Ranked set sampling methods], compariso...

The dual spaces $d(p), 1 \lt p \infty ,$ of the discrete Cesaro (Banach) $\mathrm{ces} (q)$, $1 q were studied by G. Bennett, A. Jagers and others. These (reflexive) Banach induce non-normable Frechet $d (p+) := \bigcap_{r \gt p} d (r), $ for \leq (LB)-spaces (p-) \bigcup_{ r } recently introduced investigated in [11]. Here a detailed study is made various aspects, such as spectrum, continuity,...

The solution of a nonlinear boundary value problem in ordinary differential equations the form $ L(x(t))+f(x(t)) = 0 can be obtained by solving associated system equations. In this paper, three-step iterative method with ninth order convergence is proposed to solve scheme kept free from second and higher Frechet derivatives make it computationally efficient. discretized produce which then solve...

Upper and lower bounds on cell counts in cross-classifications of nonnegative counts play important roles in a number of practical problems, including statistical disclosure limitation, computer tomography, mass transportation, cell suppression, and data swapping. Some features of the Frechet bounds are well known, intuitive, and regularly used by those working on disclosure limitation methods,...

This paper reviews the formulation and application of optimization techniques based on control theory for aerodynamic shape design in both inviscid and viscous compressible flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solution of ...

This paper reviews the formulation and application of optimization techniques based on control theory for aerodynamic shape design in both inviscid and viscous compressible ow. The theory is applied to a system de ned by the partial di erential equations of the ow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solution of an adj...