We introduce ideas and methods for the theory of distributions into value theory. This novel approach enables us to construct new diagonal formulas for the Mertens and the Neyman values on some large space of non-differentiable games. As a result, we give an affirmative answer to the following question, asked by Neyman in [5]: Do the Mertens and the Neyman values coincide ”modulo Banach limits”?

We introduce ideas and methods from distribution theory into value theory. This novel approach enables us to construct new diagonal formulas for the Mertens value [4] and the Neyman value [5] on a large space of non-differentiable games. This in turn enables us to give an affirmative answer to the question, first posed by Neyman [5], whether the Mertens value and the Neyman value coincide “modu...

In this paper, we discuss the performance of the orthogonal frequency division multiplexing (OFDM) wireless communication systems using the binary phase shift keying (BPSK) modulation over Rayleigh fading channel implementing the generalized receiver (GR) constructed in accordance with the generalized approach to signal processing in noise. We compare OFDM-BPSK wireless communication systems ba...

We introduce ideas and methods from distribution theory into value theory. This new approach enables us to construct new diagonal formulas for the Mertens value [5] and the Neyman value [6] on a large space of nondifferentiable games. This in turn enables us to give an affirmative answer to the question, first posed by Neyman [6], whether the Mertens value and the Neyman value coincide “modulo ...

The Johnson-Neyman technique is a statistical tool used most frequently in educational and psychological applications. This paper starts by briefly reviewing the JohnsonNeyman technique and suggesting when it should and should not be used; then several different modifications and extensions of the Johnson-Neyman technique, all of them conceptually simple, are proposed. The close relation betwee...

Professor Brillinger wrote a very stimulating paper on Neyman’s life history and some of his contributions to applied statistics. The paper’s central theme is to review how Neyman used stochastic processes in data analysis. The paper contains a number of illuminating examples of Neyman and of Brillinger with other collaborators. I am honored to have been invited to be a discussant. Professor Br...