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بناء انموذج للمعاينة البيزية المفردة بافتراض مربع كاي كتوزيع مسبق == Constructing A Model For Bayesian Single Sampling Plan Assumed Chi - Squaar As A Prior Distribution
Author name:
ميسون حميد فرج محمد
Supervisor name:
محمد صادق عبد الرزاق الدوري
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Master
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T4093 - p.pdf
Abstract:
يتضمن هذا البحث بناء انموذج لخطط المعاينة البيزية باستخدام نظرية القرار، هدف الانموذج التوصل الى معالم خطة بيز المفردة (n,c) حيث n تمثل حجم العينة، c تمثل عدد القبول الضروريان لفحص المنتوج واتخاذ قرار لرفض او قبول الدفعة. قمنا باشتقاق ومناقشة خصائص نظام خ | This research deals with the process of Constructing a model for Bayesian Single Sampling Plan by using decision making theory. The aim of this Model is to obtain the parameters (n,c) which represent Sample size (n) and acceptance number c, which are necessary to inspect the lot and to make a decision whether to accept or reject the product. We drive and discussed the properties of the system of single sampling attributes plan obtained from minimizing the average Expected cost under the assumption that cost decision is a linear function in lot size and sample size. The distribution of the sampling is a mixed Poisson distribution i.e, each lot produced is in Poisson Control but the process average varies from lot of anther according to frequency distribution which is assumed to be derived in the neighbor points of the break - even quality level. We explain all the notation and steps of obtained the total Expected cost of quality Control, which contain the item of cost (Cl,C2...C6) upon the decision of acceptance or rejection, and then how to solved mathematically using forward Variances function to reach the Optimal Parameters (n*,c*). Then the Optimal size of the Sample size is identified is linear function from square root of the lot size. Some auxiliary tables are given, Which represent the results we obtained which indicate that the prior distribution of quality is Chi - Square with m degree of freedom, we apply NP - Chart to make decision about process, we apply also the test of goodness of fit for testing the hypothesis.
