A procedure for the estimation of probability density functions of positive random variables by its fractional moments, is presented. When all the available information is provided by population fractional moments a criterion of choosing fractional moments themselves is detected. When only a sample is known, Jaynes' maximum entropy procedure and the Akaike's estimation procedure are joined together for determining respectively, what and how many sample fractional moments have to be used in the estimation of the density. Some numerical experiments are provided.
For a given set of moments whose predetermined values represent the available information, we consider the case where the Maximum Entropy (MaxEnt) solutions for Stieltjes and Hamburger reduced moment problems do not exist. Genuinely relying upon MaxEnt rationale we find the distribution with largest entropy and we prove that this distribution gives the best approximation of the true but unknown underlying distribution. Despite the nice properties just listed, the suggested approximation suffers from some numerical drawbacks and we will discuss this aspect in detail in the paper.
Upon the changes that have taken place in the tourist sector since the 7 990s, the SMTEs and the destinations where they operate are called to reflect on the opportunity to redefine the strategic and organizational assets that have distinguished them until now in order to respond to new needs and desires coming from a more segmented demand side. This paper presents the results of a research project conducted in the Dolomites, the most important alpine area in terms of numbers of tourists, representative of a community tourist destination and where the tourists do not defer to intermediaries to organize the vacation (do‐it‐yourself tourists). The Dolomites are now in the “mature” phase of the development life cycle and as such need a new approach to the market in order to maintain loyalty among current visitors and to gain loyalty in new tourist segments. The research was done in the summer 2001 and winter 2001–2002 by administering 5,000 online questionnaires to a representative sampling of “do‐it‐yourself” tourists. The objective was to study the decision‐making and behavioural models of do‐it‐yourself tourists and to build profiles of tourists who choose this destination. From these profiles it is possible to identify strategies that the SMTEs and the alpine destination as a whole could undertake to achieve the goals described above. The research highlights the importance for SMTEs to overcome the entrepreneurial spontaneity and to adopt an informed and planned business strategy. In this scenario the Regional Tourist Boards emerge as important actors that can play a key role in meta‐management.
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