![]() ![]() This will be the system with the largest remaining uncertainty, and by choosing it youre. Ulrych TJ, Bishop TN (1975) Maximum entropy spectral analysis and autoregressive decomposition. It tells us that the best choice is the one with maximum entropy. Raymo ME, Hodell D, Jansen E (1992) Response of deep ocean circulation to the initiation of northern hemisphere glaciation (3–2 myr). Pardo-Igúzquiza E, Rodriguez-Tovar FJ (2006) Maximum entropy spectral analysis of climatic time series revisited: assessing the statistical significance of estimated spectral peaks. Recently, it has been used to analyze neutron scattering data 1315, which we now illustrate. ![]() Pardo-Igúzquiza E, Rodriguez-Tovar FJ (2005) MAXENPER: a program for maximum entropy spectral estimation with assessment of statistical significance by the permutation test. The modem maximum entropy method 912 is an optimal Bayesian method that is appropriate for making inferences about positive and additive distributions. Formally, entropy is defined as follows: If X X is a discrete random variable with distribution P (X xi) pi P ( X x i) p i, then the entropy of X X is H (X) ipilogpi. For images with more than a million pixels, maximum entropy is faster than the CLEAN. When the goal is to find a distribution that is as ignorant as possible, then, consequently, entropy should be maximal. Papoulis A (1984) Probability, random variables and stochastic processes: McGraw-Hill Intern. Maximum entropy is also called the all-poles model or autoregressive model. PhD Dissertation, Stanford University, 127 p Oklahoma City, OK, pp 34–41īurg JP (1975) Maximum entropy spectral analysis. So, the entropy for the fair coin case comes out to be 1. So, the entropy of a fair coin is: Source: Author. In the case of a coin, we have heads (1) or tails (0). Here, c is the number of different classes you have. 37 th Annual International Meeting of the Society for the Exploration of Geophysics. The mathematical formula of Shannon’s entropy is: Source: Author. Springer, New York, p 577ppīurg JP (1967) Maximum entropy spectral analysis. IEEE Trans Inf Theory 22(5):534–545īrockwell PJ, Davis RA (1991) Times series: theory and methods, 2nd edn. Astron Astrophys Suppl 15:383–393īaggeroer AB (1976) Confidence intervals for regression (MEM) spectral estimates. Ables JG (1974) Maximum entropy spectral analysis. ![]()
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