Mathematical methods of statistical quality control
Statistical methods of quality control. Probability theory and its role in the methods of statistical quality control. Theoretical foundations. Elements of probability theory. Random variables. Fundamentals of sampling. Fundamentals of mathematical statistics. Methods of statistical quality control. Statistical methods in the control of production processes. Acceptance sampling. Reliability theory.
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acceptance sampling alternative applied approximation arithmetic mean average binomial distribution CM CM compute considered continuous random variable control chart control limits corresponding critical region critical value cylinder decision function defective items density function depends determined discrete distributed according elementary events empirical distribution function eq eq error example expected value experiment exponential distribution failure fluctuation Fn(x fraction defective Gaussian given hazard rate inspection Let us denote machine mathematical statistics method normal distribution notation null hypothesis number of defective observed value obtain OC function occur order statistics Poisson possible values practical problem production process quantities reject relative frequency risk function sample elements sample mean sample space sampling plan second kind Section sequential single sample standard deviation statistical quality control stochastic process sufficient statistic Table test procedure test statistic theoretical tion unbiased estimator variance
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