منابع مشابه
Nonparametric Bayes-risk estimation
Absrract-Two nonparametric methods to estimate the Bayes risk using classified sample sets are described and compared. The first method uses the nearest neighbor error rate as an estimate to bound the Bayes risk. The second method estimates the Bayes decision regions by applying Parzen probability-density function estimates and counts errors made using these regions. This estimate is shown to b...
متن کاملEmpirical Bayes Estimation in Wavelet Nonparametric Regression
Bayesian methods based on hierarchical mixture models have demonstrated excellent mean squared error properties in constructing data dependent shrinkage estimators in wavelets, however, subjective elicitation of the hyperparameters is challenging. In this chapter we use an Empirical Bayes approach to estimate the hyperparameters for each level of the wavelet decomposition, bypassing the usual d...
متن کاملNonparametric Bayes Estimation of Reliability of a Coherent System
Simultaneous estimation of system and components reliability is considered when independent partition-based Dirichlet(PBD) prior is assigned on components distribution. Denote the lifetime of component j in the i-th system by {Tij , j = 1, 2, 3, . . . ,K} and the end of monitoring time by {τi, i = 1, 2, . . . , n}. Assume that {Tij , i = 1, 2, 3, . . . , n} and {τi, i = 1, 2, . . . , n} are IID...
متن کاملNonparametric Bayes I
In finite mixture models, we know a priori the number K of clusters existing in the data. Each data point is generated by one of K distributions, each of which is characterized by some parameters. For example, we can cluster the data using K-means or Gaussian mixture models. These approaches are widely used in machine learning and statistics, and are applied in areas such as image processing, i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1971
ISSN: 0018-9448
DOI: 10.1109/tit.1971.1054663