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"Parameter estimation is the process of using observations from a system to develop mathematical models that adequately represent the system dynamics. The assumed model consists of a finite set of parameters, the values of which are calculated using estimation techniques. Most of the techniques that exist are based on least-square minimization of error between the model response and actual system response. However, with the proliferation of high speed digital computers, elegant and innovative techniques like filter error method, H-infinity and Artificial Neural Networks are finding more and more use in parameter estimation problems.Modelling and Systems Parameter Estimation for Dynamic Systems presents a detailed examination of the estimation techniques and modeling problems. The theory is furnished with several illustrations and computer programs to promote better understanding of system modeling and parameter estimation. The material is presented in a way that makes for easy reading and enables the user to implement and execute the programs himself to gain first hand experience of the estimation process."

"This book explores computational structure of the exact and approximate spatial autoregression (SAR) model solutions. Estimation of the parameters of the SAR model using Maximum Likelihood (ML) theory is computationally very expensive because of the need to compute the logarithm of the determinant (log-det) of a large matrix in the log-likelihood function. "

"While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic."

"ABSTRAKDistribusi Burr adalah distribusi Burr Tipe XII yang merupakan salah satu dari dua belas tipe distribusi kontinu dalam sistem Burr. Distribusi Burr mempunyai peran penting dalam berbagai bidang ilmu, antara lain dalam analisis reliabilitas, life testing, analisis survival, aktuaria, ekonomi, kehutanan, hidrologi, dan meteorologi. Distribusi Burr merupakan distribusi yang menceng kanan dan mempunyai tail yang tebal. Pembentukan dan karakteristik-karakteristik dari distribusi ini dibahas. Karakteristik-karakteristik yang dibahas meliputi fungsi distribusi, fungsi kepadatan peluang, fungsi survival, hazard rate, modus, median, momen, mean, variansi, koefisien skewness, dan koefisien kurtosis. Kedua parameter yang dimiliki distribusi Burr, yaitu k dan c, merupakan parameter-parameter shape, sehingga fungsi kepadatan peluangnya dapat berupa fungsi turun atau berupa fungsi unimodal. Selain itu, hazard rate-nya dapat berupa fungsi turun atau berbentuk upside-down bathtub. Dengan menggunakan metode maximum likelihood, dicari taksiran titik untuk parameter k dan c. Namun, taksiran tersebut tidak dapat dihitung secara analitik, sehingga diperlukan perhitungan secara numerik. Kemudian, jika diasumsikan parameter c diketahui, dicari penaksir titik terbaik, yaitu penaksir yang takbias, mempunyai variansi minimum, dan konsisten, untuk parameter k. Data lama waktu serat Kevlar sampai putus digunakan sebagai ilustrasi."

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""ABSTRACT"Burr distribution is Burr Type XII distribution which is one of twelve types of continuous distribution in Burr system. Burr distribution has an important role in various fields of science, such as in reliability analysis, life testing, survival analysis, actuarial science, economic, forestry, hydrology, and meteorology. Burr distribution is a right skewed and heavy tailed distribution. The formation and characteristics of this distribution are discussed. The characteristics discussed include distribution function, probability density function, survival function, hazard rate, mode, median, moments, mean, variance, coefficient of skewness, and coefficient of kurtosis. Two parameters of Burr distribution, i.e. k and c, are shape parameters, so its probability density function can be either decreasing or unimodal. In addition, its hazard rate can be either decreasing or upside down bathtub shaped. By using maximum likelihood method, point estimates for parameters k and c are found. However, these estimates cannot be calculated analytically, so numerical calculations are required. Then, if it is assumed that parameter c is known, best point estimator, i.e. estimator that are unbiased minimum variance and consistent, for parameter k is found. The data representing the stress rupture life of Kevlar strands are used as an illustration."