000004528 001__ 4528
000004528 005__ 20141118192703.0
000004528 0177_ $$2doi$$a10.3850/978-981-07-2219-7_P235

000004528 0247_ $$210.3850/978-981-07-2219-7_P235
$$adoi
000004528 04107 $$aeng
000004528 046__ $$k2012-05-23
000004528 100__ $$aAkkaya, Aysen D.
000004528 24500 $$aRobust Estimation of Engineering Parameters

000004528 24630 $$n5.$$pProceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications
000004528 260__ $$bResearch Publishing, No:83 Genting Lane, #08-01, Genting Building, 349568 SINGAPORE
000004528 506__ $$arestricted
000004528 520__ $$2eng$$aIn the estimation of various engineering parameters as well as in establishing empirical relationships among them the least squares regression analysis is widely used. In certain cases maximum likelihood (ML) method is also utilized. The estimation of the parameters of Richter's magnitude-frequency relationship, development of magnitude conversion equations, relationship between compression index and void ratio of soils, relationship between modulus of elasticity and strength of timber are some examples for such applications. However, in implementing these statistical methods, engineers very seldom check the validity of the underlying assumptions with respect to the available data. This may lead to serious errors if the normality assumption, which is an underlying assumption of classical regression, is not valid. Under non-normality, least squares estimators (LSEs) are neither efficient nor robust (Akkaya and Tiku, 2008). On the other hand, the likelihood equations obtained in the ML method involve nonlinear functions and are very difficult to solve even iteratively due to some convergence problems. 
 Here we propose the use of the modified maximum likelihood (MML) method for the estimation of parameters in cases where least squares and/or maximum likelihood estimation methods are commonly used. In order to demonstrate the application of the MML method, the parameters of the quadratic magnitude-frequency relationship are derived when the error distribution is non-normal. Here the preference of the quadratic magnitude-frequency relationship is due to the fact that it is more realistic and can easily be reduced to the linear one. For the numerical application of the MML method the most active segment of the North Anatolian Fault Zone is analyzed.

000004528 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004528 653__ $$aNon-normality, Modified maximum likelihood, Quadratic magnitude-frequency relationship, Robust estimation, North anatolian fault.

000004528 7112_ $$a5th Asian-Pacific Symposium on Structural Reliability and its Applications$$cSingapore (SG)$$d2012-05-23 / 2012-05-25$$gAPSSRA2012
000004528 720__ $$aAkkaya, Aysen D.$$iYucemen, M. Semih
000004528 8560_ $$ffischerc@itam.cas.cz
000004528 8564_ $$s331183$$uhttps://invenio.itam.cas.cz/record/4528/files/P235.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004528 962__ $$r4180
000004528 980__ $$aPAPER