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      • KCI등재

        Statistical Evidence Methodology for Model Acceptance Based on Record Values

        M. Doostparast,M. Emadi 한국통계학회 2006 Journal of the Korean Statistical Society Vol.35 No.2

        An important role of statistical analysis in science is interpreting ob-served ata as evidence, that is “what do the data say?”. Although standardstatistical methods (hypothesis testing, estimation, condence intervals) areroutinely used for this purpose, the theory behind those methods containsno dened concept of evidence and no answer to the basic question “whenis it correct to say that a given body of data represent evidence supportingone statistical hypothesis against another?” (Royall, 1997).In this article, we use likelihod ratios to measure evidence provided byrecord values in favor of a hypothesis and against an alternative. This hy-pothesis is concerned on mean of an exponential model and prediction offuture record values.AMS 2000 subject classications.Primary 62G10; Secondary 62G30.Keywords. Exponential model, hypothesis testing, likelihod ratio, prediction, recordvalues, statistical evidence.1. IntroductionLet {Xi,i ≥ 1} be a sequence of independent and identically distributedcontinuous random variables having the same distribution as the (population)random variable X. An observationXj will be called an upper record value if itsvalue exceeds that of all previous observations. ThusXj is an (upper) record valueifXj > X i for everyi < j . Let us assume thatXj is observed at timej. Thenthe (upper) record time{Tn,n≥1} sequence is dened in the following manner:T1 = 1 ,with probability 1 and, forn ≥2,Tn = min {j > T n1 :Xj > X Tn 1}.Received August 2005; accepted April 2006.1Corresponding author. Department of Statistics, Ferdowsi University of Mashhad, P. O.Box 91775-1159, Mashhad, Iran (e-mail: doostparast@wali.um.ac.ir)

      • SCIE

        STATISTICAL EVIDENCE METHODOLOGY FOR MODEL ACCEPTANCE BASED ON RECORD VALUES

        Doostparast M.,Emadi M. The Korean Statistical Society 2006 Journal of the Korean Statistical Society Vol.35 No.2

        An important role of statistical analysis in science is interpreting observed data as evidence, that is 'what do the data say?'. Although standard statistical methods (hypothesis testing, estimation, confidence intervals) are routinely used for this purpose, the theory behind those methods contains no defined concept of evidence and no answer to the basic question 'when is it correct to say that a given body of data represent evidence supporting one statistical hypothesis against another?' (Royall, 1997). In this article, we use likelihood ratios to measure evidence provided by record values in favor of a hypothesis and against an alternative. This hypothesis is concerned on mean of an exponential model and prediction of future record values.

      • KCI등재

        Vibration of electrostatically actuated microbeam by means of homotopy perturbation method

        M. Bayat,I. Pakar,A. Emadi 국제구조공학회 2013 Structural Engineering and Mechanics, An Int'l Jou Vol.48 No.6

        In this paper, it has been attempted to present a powerful analytical approach called Homotopy Perturbation Method (HPM). Free vibration of an electrostatically actuated microbeam is considered to study analytically. The effect of important parameters on the response of the system is considered. Some comparisons are presented to verify the results with other researcher’s results and numerical solutions. It has been indicated that HPM could be easily extend to any nonlinear equation. We try to provide an easy method to achieve high accurate solution which valid for whole domain.

      • SCIESCOPUS

        Vibration of electrostatically actuated microbeam by means of homotopy perturbation method

        Bayat, M.,Pakar, I.,Emadi, A. Techno-Press 2013 Structural Engineering and Mechanics, An Int'l Jou Vol.48 No.6

        In this paper, it has been attempted to present a powerful analytical approach called Homotopy Perturbation Method (HPM). Free vibration of an electrostatically actuated microbeam is considered to study analytically. The effect of important parameters on the response of the system is considered. Some comparisons are presented to verify the results with other researcher's results and numerical solutions. It has been indicated that HPM could be easily extend to any nonlinear equation. We try to provide an easy method to achieve high accurate solution which valid for whole domain.

      • KCI등재

        Numerical study on the performance of corrugated steel shear walls

        S.A. Edalati,M. Bayat,Y. Yadollahi,I. Pakar,A. Emadi 한국풍공학회 2014 Wind and Structures, An International Journal (WAS Vol.19 No.4

        This paper examines the nonlinear behaviour of corrugated steel plate shear walls under lateral pushover load. One of the innovations in these types of walls which have used in recent years is the use of the corrugated steel shear walls rather un-stiffness plates. In the last decades many experimental studies have been done on the on the corrugated steel shear walls. A finite element analysis that includes both material and geometric nonlinearities is employed for the investigation. A comparison is made between the behaviour of steel shear walls with sinusoidal corrugated plate and trapezoidal corrugated plate. The effects of parameters such as the thickness of the corrugated plate, the corrugation depth in the corrugated plates and the corrugation length of the infill of the corrugated plates, are investigated. The results of this study have demonstrated that in the wall with constant dimensions, the trapezoidal plates have higher energy dissipation, ductility and ultimate bearing than sinusoidal waves, while decreasing the steel material consumption.

      • SCIESCOPUS

        Numerical study on the performance of corrugated steel shear walls

        Edalati, S.A.,Yadollahi, Y.,Pakar, I.,Emadi, A.,Bayat, M. Techno-Press 2014 Wind and Structures, An International Journal (WAS Vol.19 No.4

        This paper examines the nonlinear behaviour of corrugated steel plate shear walls under lateral pushover load. One of the innovations in these types of walls which have used in recent years is the use of the corrugated steel shear walls rather un-stiffness plates. In the last decades many experimental studies have been done on the on the corrugated steel shear walls. A finite element analysis that includes both material and geometric nonlinearities is employed for the investigation. A comparison is made between the behaviour of steel shear walls with sinusoidal corrugated plate and trapezoidal corrugated plate. The effects of parameters such as the thickness of the corrugated plate, the corrugation depth in the corrugated plates and the corrugation length of the infill of the corrugated plates, are investigated. The results of this study have demonstrated that in the wall with constant dimensions, the trapezoidal plates have higher energy dissipation, ductility and ultimate bearing than sinusoidal waves, while decreasing the steel material consumption.

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