• The Korean Journal of Applied Statistics
• /
• v.22 no.5
• /
• pp.1097-1102
• /
• 2009

Classification of subjects with unknown distribution in small sample size setup may involve order-restricted constraints in multivariate parameter setups. Those problems makes optimality of conventional likelihood ratio based statistical inferences not feasible. Fortunately, Roy (1953) introduced union-intersection principle(UIP) which provides an alternative avenue. Redescending M-estimator along with that principle yields a considerably appropriate robust testing procedure. Furthermore, conditionally distribution-free test based upon exact permutation theory is used to generate p-values, even in small sample. Applications of this method are illustrated in simulated data and read data example (Lobenhofer et al., 2002)

• International Journal of Quality Innovation
• /
• v.2 no.1
• /
• pp.20-29
• /
• 2001

In this paper, the same distribution principle is developed based on the studies with many years for short run processes. The quality control philosophy and background of the principle are introduced. Some implementing techniques for the principle are presented, and application cases both in industry and evaluation & decision-making areas are shown.

• Language and Information
• /
• v.14 no.1
• /
• pp.145-163
• /
• 2010

This paper aims to propose that Benford's Law, non-uniform distribution of the leading digits in lists of numbers from many real-life sources, also appears in linguistic texts. The first digits in the frequency lists of morphemes from Sejong Morphologically Analyzed Corpora represent non-uniform distribution following Benford's Law, but showing complexity of numerical sources from complex systems like earthquakes. Benford's Law in texts is a principle reflecting regular distribution of low-frequency linguistic types, called LNRE(large number of rare events), and governing texts, corpora, or sample texts relatively independent of text sizes and the number of types. Although texts share a similar distribution pattern by Benford's Law, we can investigate non-uniform distribution slightly varied from text to text that provides useful applications to evaluate randomness of texts distribution focused on low-frequency types.

• Communications of the Korean Mathematical Society
• /
• v.34 no.2
• /
• pp.495-506
• /
• 2019

Motivated by Bloch's principle, we prove a value distribution result for meromorphic functions which is related to Hayman's alternative in certain sense.

• Bulletin of the Korean Mathematical Society
• /
• v.34 no.2
• /
• pp.295-303
• /
• 1997

Let ${X_k : k = 1, 2, \cdots}$ be a sequence of independent, identically distributed integer-valued random variables with common distribution function F.

• Communications for Statistical Applications and Methods
• /
• v.25 no.5
• /
• pp.559-568
• /
• 2018

Gene classification can involve complex order-restricted inference. Examining gene expression pattern across groups with order-restriction makes standard statistical inference ineffective and thus, requires different methods. For this problem, Roy's union-intersection principle has some merit. The M-estimator adjusting for outlier arrays in a microarray study produces a robust test statistic with distribution-insensitive clustering of genes. The M-estimator in conjunction with a union-intersection principle provides a nonstandard robust procedure. By exact permutation distribution theory, a conditionally distribution-free test based on the proposed test statistic generates corresponding p-values in a small sample size setup. We apply a false discovery rate (FDR) as a multiple testing procedure to p-values in simulated data and real microarray data. FDR procedure for proposed test statistics controls the FDR at all levels of ${\alpha}$ and ${\pi}_0$ (the proportion of true null); however, the FDR procedure for test statistics based upon normal theory (ANOVA) fails to control FDR.

• Journal of Korean Society of Transportation
• /
• v.1 no.1
• /
• pp.43-47
• /
• 1983

Within the conventional transportation planning process, "trip distribution" has a significant role to play. The most widely applied trip distribution model is the gravity model, for which Wilson provided the theoretical basis in 1967. The concept of the gravity model, however, still remains ambiguous if we analyze the "trip distribution" with a disaggregate data set. Thus, this paper hypothesizes that the gravity technique is still valid even with the disaggregate data set, by proving that the estimated coefficients of the gravity model, which is derived under the principle of entropy maximization, are identical with those of the multinomial logit model, which is derived under the principle of individual utility maximization.tility maximization.

• Journal of Distribution Science
• /
• v.17 no.12
• /
• pp.71-79
• /
• 2019

Purpose: This study focuses on lean implementation evaluation in Third Party Logistics (TPL) industry by using the lean principles measurement from Toyota Ways which consist of 14 principles. The core goal of this study is to appraise the lean implementation level in Third Party Logistics in East Java of Indonesia in order to achieve efficient logistics, distribution and transportation activities. Research design, data and methodology: This study uses a sample of 80 respondent who are Third Party Logistics managers in East Java Province, Indonesia. Data collection uses a questionnaire and standard statistical test was performed in order to analyze questionnaire. Results: The implementation level of lean management in Third Party Logistics shows that application of principle 3 (utilizing pull systems) has a higher score than the other principles. This situation shows that management give the best performance in plan process. They prioritize customer requirement in every process designed. However, the principle 8 (using reliable technology) show the weakness performance. Conclusions: Overall, this study shows the Third Party Logistics in East Java Province of Indonesia have applied the lean principle quite well, although the scores are only slightly above the average. This condition provides a strong basis for further lean implementation, especially for improving logistics, distribution and transportation activities in Third Party Logistics Business.

• Journal of Distribution Research
• /
• v.2 no.2
• /
• pp.153-172
• /
• 1997

The distribution sector is affected by a wide range of regulations. Many of these are related to health and safety, others are related to urban planning and environmental issues, whereas some mainly have an economic basis. But, regulations many be unduly restrictive, in which case they can drive up costs and ultimately prices, or they may, in some cases, reduce consumer choice. Unduly restrictive regulations could also increase costs indirectly, by reducing competition and thus lead to lower productivity growth. In the past few years, distribution sector has gone through drastic changes due to deregulation and market opening. Implementation of regulatory reforms served as an opportunity to change laws and systems which had been an obstacle to development of distribution sector. Market opening of distribution sector became a turning point to promote competition among domestic and foreign firms. However, for small and medium scale of the typical retail enterprises which were in no position to compete in terms of prices, additional facilities, and services, faced a threat of diminished trading area, and even of their existence. Because, large firms may have greater market power than small firms, as they can more easily extract favorable terms when procuring goods, and may also be able to deter entry by advertising outlays or access to the best sites. In addition, larger chain stores armied with sufficient capital dominated trading area and reduced customer's welfare by abusing their monopoly power when competing with other shops, and are often cited as an example of adverse effects of local monopoly. In order to minimize such adverse effects and to foster competition, regulatory reforms in distribution sector should set its goal to promote sound and stable distribution activities through market principle and restoring competition principle, and ultimately to boost customers welfare. Therefore, deregulation in distribution sector should be implemented in a way to promote customers welfare, eliminate entry barriers, and expand competition principle such as productivity and efficiency competition. However, it should be also recognized that deregulation of system alone is not enough to develop the distribution sector. To compete in a increasingly concentrated industry, small enterprises increasingly engage in co-operative arrangements, such as buying groups, strategic alliances or franchise agreements.

• 전기의세계
• /
• v.18 no.6
• /
• pp.9-22
• /
• 1969

This thesis has suggested a method of applying the Maximum Principle of Pontryagin to the optimal control of distributive electrical networks. In general, electrical networks consist of branches, nodes, sources and loads. The effective values of steady state currents and voltages are independent of time but only expressed as the functions of position. Moreover, most of the node voltages and branch currents are not predetermined, that is, initially unknown, and their inherent loop characteristics satisfy only Kirchhoff's current and voltage laws. The Maximum Principle, however, needs the initial fixed values of all state variables for its standand way of application. In spite of this inconsistency this thesis has undertaken to suggest a new approach to the successful solution of the above mentioned networks by introducing scaling factors and a state variable change technique which transform the boundary-value unknown problem into the boundary-value partially fixed and partially free problem. For the examples of applying the method suggested, the control problems for minimizing copper quantity in a distribution line have been solved with voltage drop constraint imposed on. In the case of uniform load distribution it has been shown that the optimal wire diameter of the distribution line is reciprocally proportional to the root of distance. For the same load pattern as above the wire diameter giving the minimum copper loss in the distribution line has been shown to be reciprocally proportional to distance.