In this article, we consider a lifetime distribution, the Weibull-Logarithmic distri- bution introduced by [6]. We investigate some new statistical characterizations and properties. We develop the maximum likelihood i...In this article, we consider a lifetime distribution, the Weibull-Logarithmic distri- bution introduced by [6]. We investigate some new statistical characterizations and properties. We develop the maximum likelihood inference using EM algorithm. Asymptotic properties of the MLEs are obtained and extensive simulations are conducted to assess the performance of parameter estimation. A numerical example is used to illustrate the application.展开更多
Consider the bivariate exponential distribution due to Marshall and Olkin[2], whose survival function is F(x, g) = exp[-λ1x-λ2y-λ12 max(x, y)] (x 0,y 0)with unknown Parameters λ1 > 0, λ2 > 0 and λ12 0.Base...Consider the bivariate exponential distribution due to Marshall and Olkin[2], whose survival function is F(x, g) = exp[-λ1x-λ2y-λ12 max(x, y)] (x 0,y 0)with unknown Parameters λ1 > 0, λ2 > 0 and λ12 0.Based on grouped data, a newestimator for λ1, λ2 and λ12 is derived and its asymptotic properties are discussed.Besides, some test procedures of equal marginals and independence are given. Asimulation result is given, too.展开更多
The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0...The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0, f:R →R is continuous, and uf(u) > 0 for u ≠0. Sufficient conditions are placed on P,Q,f, and R so that certain classes of solutions of (E) tend to zero as t →∞. Some suggestions for further research are also indicated.1991 Mathematics Subject Classification. Primary 34K40, 34K15; Secondary 34C11,34C15.展开更多
基金Supported by the program for the Fundamental Research Funds for the Central Universities(2014RC042,2015JBM109)
文摘In this article, we consider a lifetime distribution, the Weibull-Logarithmic distri- bution introduced by [6]. We investigate some new statistical characterizations and properties. We develop the maximum likelihood inference using EM algorithm. Asymptotic properties of the MLEs are obtained and extensive simulations are conducted to assess the performance of parameter estimation. A numerical example is used to illustrate the application.
文摘Consider the bivariate exponential distribution due to Marshall and Olkin[2], whose survival function is F(x, g) = exp[-λ1x-λ2y-λ12 max(x, y)] (x 0,y 0)with unknown Parameters λ1 > 0, λ2 > 0 and λ12 0.Based on grouped data, a newestimator for λ1, λ2 and λ12 is derived and its asymptotic properties are discussed.Besides, some test procedures of equal marginals and independence are given. Asimulation result is given, too.
文摘The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0, f:R →R is continuous, and uf(u) > 0 for u ≠0. Sufficient conditions are placed on P,Q,f, and R so that certain classes of solutions of (E) tend to zero as t →∞. Some suggestions for further research are also indicated.1991 Mathematics Subject Classification. Primary 34K40, 34K15; Secondary 34C11,34C15.
