Journal of the Indonesian Mathematical Society
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
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THE PARTIAL SUMS OF THE LEAST SQUARES RESIDUALS OF SPATIAL OBSERVATIONS SAMPLED ACCORDING TO A PROBABILITY MEASURE
Somayasa, Wayan
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.127.23-40
A functional central limit theorem for a sequence of partial sums processes of the least squares residuals of a spatial linear regression model in which the observations are sampled according to a probability measure is established. Under mild assumptions to the model, the limit of the sequence of the least squares residual partial sums processes is explicitly derived. It is shown that the limit process which is a function of the Brownian sheet depends on the regression functions and the probability measure under which the design is constructed. Several examples ofthe limit processes when the model is true are presented. Lower and upper bounds for boundary crossing probabilities of signal plus noise models when the noises come from the residual partial sums processes are also investigated.DOI :Â http://dx.doi.org/10.22342/jims.19.1.127.23-40
ENERGY OF COMPLEMENT OF STARS
Hampiholi, P. R.;
Walikar, H. B.;
Durgi, B. S.
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.125.15-21
pdf abstractDOI :Â http://dx.doi.org/10.22342/jims.19.1.125.15-21
ON SEMIPRIME SUBSEMIMODULES AND RELATED RESULTS
Tavallaee, Hamid Agha;
Zolfaghari, Masoud
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.129.49-59
In this paper we introduce the notions of semiprime subsemimodules and semiprime k-subsemimodules and present some characterizations about them. Special attention has been paid, when semimodules are multiplication, to find extra properties of these semimodules. Moreover we prove a result for semiprime subsemimodules of quotient semimodules.DOI :Â http://dx.doi.org/10.22342/jims.19.1.129.49-59
THE MISSILE GUIDANCE ESTIMATION USING EXTENDED KALMAN FILTER-UNKNOWN INPUT-WITHOUT DIRECT FEEDTHROUGH (EKF-UI-WDF) METHOD
Subchan, Subchan;
Asfihani, Tahiyatul
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.124.1-14
This paper consider the estimation of the optimal missile guidance which the objective is to minimize the interception time and the energy expen-diture. The proposed Extended Kalman Filter-Unknown Input-Without Direct Feedthrough (EKF-UI-WDF) approach is to estimate the optimal missile guidance and the target acceleration as unknown input to the missile-target interception model. Unknown input is any type of signals without prior information from agiven state model or a measurement. The computational for the EKF-UI-WDF method and optimal missile guidance show the closest range to the missile-target is smaller than using the EKF. However the Mean Squared Error (MSE) of estimating the optimal missile guidance using EKF method is smaller than using EKF-UI-WDF method.DOI :Â http://dx.doi.org/10.22342/jims.19.1.124.1-14
THE MISSILE GUIDANCE ESTIMATION USING EXTENDED KALMAN FILTER-UNKNOWN INPUT-WITHOUT DIRECT FEEDTHROUGH (EKF-UI-WDF) METHOD
Subchan Subchan;
Tahiyatul Asfihani
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.124.1-14
This paper consider the estimation of the optimal missile guidance which the objective is to minimize the interception time and the energy expen-diture. The proposed Extended Kalman Filter-Unknown Input-Without Direct Feedthrough (EKF-UI-WDF) approach is to estimate the optimal missile guidance and the target acceleration as unknown input to the missile-target interception model. Unknown input is any type of signals without prior information from agiven state model or a measurement. The computational for the EKF-UI-WDF method and optimal missile guidance show the closest range to the missile-target is smaller than using the EKF. However the Mean Squared Error (MSE) of estimating the optimal missile guidance using EKF method is smaller than using EKF-UI-WDF method.DOI : http://dx.doi.org/10.22342/jims.19.1.124.1-14
ENERGY OF COMPLEMENT OF STARS
P. R. Hampiholi;
H. B. Walikar;
B. S. Durgi
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.125.15-21
pdf abstractDOI : http://dx.doi.org/10.22342/jims.19.1.125.15-21
THE PARTIAL SUMS OF THE LEAST SQUARES RESIDUALS OF SPATIAL OBSERVATIONS SAMPLED ACCORDING TO A PROBABILITY MEASURE
Wayan Somayasa
Journal of the Indonesian Mathematical Society Volume 19 Number 1 (April 2013)
Publisher : IndoMS
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DOI: 10.22342/jims.19.1.127.23-40
A functional central limit theorem for a sequence of partial sums processes of the least squares residuals of a spatial linear regression model in which the observations are sampled according to a probability measure is established. Under mild assumptions to the model, the limit of the sequence of the least squares residual partial sums processes is explicitly derived. It is shown that the limit process which is a function of the Brownian sheet depends on the regression functions and the probability measure under which the design is constructed. Several examples ofthe limit processes when the model is true are presented. Lower and upper bounds for boundary crossing probabilities of signal plus noise models when the noises come from the residual partial sums processes are also investigated.DOI : http://dx.doi.org/10.22342/jims.19.1.127.23-40