Abstract
The Reliability of a working system has been realized generally by probability functions, Mathematical Expectation and simulation Processes based on Weibull's Failure Laws and other Failure Laws. But to trust a working system in anticipation of good performance process, the Mathematical computations can be transformed to computerization methods for which a detailed analysis both on the mathematical and software applications, are preferred. A Hazard model for initial failure but late working in a good condition with no further failure on a hardware system has been proposed and mathematically the complex valued expression for Mean time to Failure and Variance are derived for experimental execution and the outputs prove and concur with Data-Mining results.
The paper under the present proposal contains the above contemplation based on real Topology regarding initial failure and late picking up of many working set ups and the real and complex valued functions are derived for MTTF and variance parameters for due transfer to Dynamic and continuous processes like Manual Learning, Operating on Computer, Internet and Network with other Physical conditions. These transformations are coordinated with simulation of probability functions and the Data of performance are evaluated through Data Mining Techniques and the prediction of performance} {Reliability, A mathematical application promises better working conditions of the system. The above deliberation could be extended for estimation of Remedial effects in the fields of physical conditions, like sleeping status, convalescing conditions etc. there is little scope for other consideration like bath tub curve regarding the present proposal submitted in this paper.