This note further explores the Dirichlet-tree distribution developed by Dennis (1991). An inclusion relationship is given for different tree structures and an independence relationship is given for probabilities in the tree. The posterior, evidence, and predictive density are derived for multinomial observations.

decreasing changes of climatic elements such as: daily precipitation, weekly precipitation, seasonal precipitation and annual precipitation can be toward to drought phenomena. the recognition it and planning for passing it, could be decreasing of disasters, because create of drought is slow but it effects is very damages. the aim of this paper is descriptive analyze and it type of research is a...

in order to evaluate the possible correlation between the tree density and the human population density, the forested area in nav asalem district located in guilan province was selected. the descriptors of tree number and basal area per hectare as well as the stand density index were used to determine the tree density, which was conducted from a 2014 forest inventory including 62 cluster (558 p...

This paper proposes a new coding scheme and an algorithm to determine ancestordescendant relationship among nodes in a tree without tree traversal. Each node in a tree is assigned a unique binary code. The algorithm and the binary coding approach were tested with trees of different heights and widths. The algorithm is of O(1) complexity versus O(d) for tree traversal, where d is the depth of th...

The relationship between the matrix and the tree has been the subject of intensive investigation ever since the beginning of game theory. The issue goes back even to Borel and von Neumann. Later, Thompson [11, 1952], followed by Elmes-Reny [4, 1994], uncovered the structural relationship between the matrix and the tree. They showed that, up to the duplication of pure strategies, two games have ...

Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...

XML documents are typically queried with a combination of value search and structure search. While querying by values can leverage traditional database technologies, evaluating structural relationship, specifically parent-child or ancestor-descendant relationship, between XML element sets has imposed a great challenge on efficient XML query processing. This paper proposes XR-tree, namely, XML R...