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Random variables on Boolean and Heyting algebras and their numerical characteristics

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Rydzyńska E.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Summary..............................................................................................................5 2. Spectral measure theory for Boolean and Heyting algebras................................5 2.1. Introduction.......................................................................................................5 2.2. Spectral measures for Boolean algebras..........................................................5 2.3. Spectral supermeasures for Heyting algebras.................................................11 3. Theory of the integral for Boolean and Heyting algebras...................................14 3.1. Introduction.....................................................................................................14 3.2. Theory of the integral......................................................................................14 4. Some numerical characteristics of random variables on Heyting algebras.........18 4.1. Introduction.....................................................................................................18 4.2. Expectation and variance................................................................................18 4.3. Other fundamental numerical characteristics of random variables..................24 References............................................................................................................28

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1 Rydzyńska E.

1 1990

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Random variables on Boolean and Heyting algebras and their numerical characteristics