Prospect theory developed by Kahneman and Tversky has been among the most influential psychological models and explains many nonnormative decision-making phenomena, e.g. why people play the lottery or bet on long-shots. A Certainty Equivalent procedure was used during functional magnetic resonance imaging to identify the neural substrates that are important for nonlinear transformation of proba...

it is a challenge for a farmer with limited resources to decide on the production of commodities and investment in the farm. transformation of smallholder subsistence agriculture, to market oriented value addition based agriculture is vital for poverty reduction in ethiopia. this study was initiated to explore the factors which contribute for the adoption of improved wheat and pepper varieties ...

This paper presents a hyperbolic trigonometric (HT) transformation procedure for empirically estimating a cumulative probability distribution function (cdf), from which the probability density function (pdf) can be obtained by differentiation. Maximum likelihood (ML) is the appropriate estimation technique, but a particularly appealing feature of the HT transformation as opposed to other zero-o...

This paper studies geometrical structure of the manifold of escort probability distributions and shows its new applicability to information science. In order to realize escort probabilities we use a conformal transformation that flattens so-called alpha-geometry of the space of discrete probability distributions, which well characterizes nonadditive statistics on the space. As a result escort p...

In this paper we analyze the properties of the intersection probability, a recent Bayesian transformation of belief functions introduced by geometric means. We propose a rationale for this approximation valid for interval probabilities, and study its geometry in the probability simplex with respect to the credal sets associated with probability intervals. We discuss its relations with different...

We develop a Radon like transformation, in which P quasiprobability distribution for spin 1/2 states is written in terms of the tomographic probability distribution w.

This paper generalizes the traditional statistical concept of prediction intervals for arbitrary probability density functions in highdimensional feature spaces by introducing significance level distributions, which provides interval-independent probabilities for continuous random variables. The advantage of the transformation of a probability density function into a significance level distribu...

In this paper we study a one-dimensional quantum random walk with the Hadamard transformation which is often called the Hadamard walk. We construct the Hadamard walk using a transition matrix on probability amplitude and give some results on symmetry of probability distributions for the Hadamard walk.

We consider a probability based approach according to which the similarity of two values (in the same domain) is the probability of value pairs whose components are rather apart than the two values under consideration. Similarities across the attributes of the heterogeneous data are combined using Fisher transformation. Results of applying this approach to an image retrieval problem are also pr...