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EN
This paper provides a comprehensive method for the evaluation of a company. Specifically, it concerns the prediction of the viability of Czech construction companies. The construction industry is a very specific industry. This is primarily due to the nature of the product. The use of many production factors to convert to a farm (a house, a factory building, etc.) is assumed. Each contract of a construction company (apart from the exceptions) is usually unique. In addition, the field produces long-term assets. As the generic name suggests, the product is used by a consumer (a household or firm) over a long period of time. Such a product is seen to some extent as a consumer one in the consumer market. However, it enters the market of production factors in the form of fixed assets. Due to this fact, construction is usually a field which first inhibits its activity and suffers a loss in times of crisis. On the other hand, it also becomes the first field which enters a phase of growth after a crisis period. The offered method is not only a suitable tool for managers of individual companies, but it may indicate the stage of the economic cycle in the particular country or in a particular market at ta correct selection of those monitored companies. The methodology of the formation in an offered model is applicable not only in the Czech Republic but it is also transferable to other countries in Europe and the world, where it will also be able to take into account the specifics of local markets, too, after its application.
EN
The trend of time series can change its direction. It is assumed that the time interval is divided into subintervals where the trend is given as particular linear function. The problem is how to divide the observation of time series into disjoint and coherent groups where they have linear trend. That is why the problem of the scatter of multivariable observation was first considered. The degree of data spread is measured by means of a coefficient called a discriminant of multivariable observation. It is equal to the sum of volumes of the parallelotops spanned on multidimensional observations. On the basis of it the modifications of the well known generalized variance were introduced. Geometrical properties of those parameters were investigated. The obtained results are used to generalize well-known clustering methods of Ward. One of the advantages of the method is that it finds clusters of high linear dependent multivariate observations. Finally, the results are used to partition a time series into homogeneous groups where observations are close to linear trend. There is considered an example.
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