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Laplace-Stieltjes transform of the system mean lifetime via geometric process model

Gökhan Gökdere, Mehmet Gürcan (2016)

Open Mathematics

Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system. Also in such studies the mean operating time of the system is calculated. However, the reliability function of some systems, such as repairable system, cannot be easily obtained analytically. In this case, forming Laplace-Stieltjes transform of the system can provide a...

Modelos para la asignación de tratamiento.

M.ª Pilar García-Carrasco Aponte (1986)

Trabajos de Estadística

In this paper the problem of treatment allocation is studied from the predictive decision theoretical point of view. The utility of obtaining some final characteristics y when a treatment a is applied to a person with initial facet x is assumed to be known. The problem is then reduced to the derivation of the expected utility of a given x, by means of either prognostic or diagnostic distributions.To find prognostic distributions, regression models and appropriate partitions of the population, according...

Note on the ANOVA of a completely confounded factorial experiment

Wiktor Oktaba (2005)

Applicationes Mathematicae

The purpose of this paper is to present a modern approach to the analysis of variance (ANOVA) of disconnected resolvable group divisible partially balanced incomplete block (GDPBIB) designs with factorial structure and with some interaction effects completely confounded. A characterization of a factorial experiment with completely confounded interaction is given. The treatment effect estimators and some relations between the matrix F of the reduced normal equations and the information matrix A are...

On a characterization of symmetric balanced incomplete block designs

R.N. Mohan, Sanpei Kageyama, M.M. Nair (2004)

Discussiones Mathematicae Probability and Statistics

All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression Si for...

On optimality of the orthogonal block design

Ewa Synówka-Bejenka, Stefan Zontek (2012)

Discussiones Mathematicae Probability and Statistics

In the paper a usual block design with treatment effects fixed and block effects random is considered. To compare experimental design the asymptotic covariance matrix of a robust estimator proposed by Bednarski and Zontek (1996) for simultaneous estimation of shift and scale parameters is used. Asymptotically A- and D- optimal block designs in the class of designs with bounded block sizes are characterized.

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