This paper is concerned with introducing and studying the first new approximation operators using mixed degree system and second new approximation operators using mixed degree system which are the core concept in this paper. In addition, the approximations of graphs using the operators first lower and first upper are accurate then the approximations obtained by using the operators second lower and second upper sincefirst accuracy less then second accuracy. For this reason, we study in detail the properties of second lower and second upper in this paper. Furthermore, we summarize the results for the properties of approximation operators second lower and second upper when the graph G is arbitrary, serial 1, serial 2, reflexive, symmetric, transitive, tolerance, dominance and equivalence in table.
New Approximation Operators Using Mixed Degree Systems
Digraph
Out-degree set
In-degree set
Mixed degree set
first
approximation operators
second approximation operators
first accuracy
and second accuracy.
Publication Date
Tue Dec 31 2019
Journal Name
Journal Of Economics And Administrative Sciences
Comparing Different Estimators for the shape Parameter and the Reliability function of Kumaraswamy Distribution
Kumaraswamy distribution
the shape parameter
reliability function
maximum likelihood
Bayes method
prior distributions (exponential distribution
chi-squared distribution and Erlang-2 type distribution)
the squared error loss function.
توزيع Kumaraswamy
معلمة الشكل
دالة المعولية
الإمكان الاعظم
طريقة بيز
التوزيعات الأولية (التوزيع الاسي
توزيع مربع كاي
توزيع ارلنك)
دالة الخسارة التربيعية.
In this paper, we used maximum likelihood method and the Bayesian method to estimate the shape parameter (θ), and reliability function (R(t)) of the Kumaraswamy distribution with two parameters l , θ (under assuming the exponential distribution, Chi-squared distribution and Erlang-2 type distribution as prior distributions), in addition to that we used method of moments for estimating the parameters of the prior distributions. Bayes
