Boston University Libraries OpenBU
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    •   OpenBU
    • Theses & Dissertations
    • Dissertations and Theses (pre-1964)
    • View Item
    •   OpenBU
    • Theses & Dissertations
    • Dissertations and Theses (pre-1964)
    • View Item

    Non-normal models for classification of speech sounds

    Thumbnail
    Date Issued
    1954
    Author(s)
    Stubbs, Harold LeRoy
    Share to FacebookShare to TwitterShare by Email
    Export Citation
    Download to BibTex
    Download to EndNote/RefMan (RIS)
    Metadata
    Show full item record
    Permanent Link
    https://hdl.handle.net/2144/8717
    Abstract
    The speech analysis problem under consideration is to classify, by an optimum procedure, a speech sound (phoneme) on the basis of certain electronically measured variables. For the vowel phonemes (designated by pi_l, . . ., pi_m) of specific interest, the appropriate variables are fractions x_1, . . ., x_p of the total power contained in p mutually exclusive portions of the frequency spectrum such that pΣi=1 x_i=1. Some related variables designated by y_l, . . .,y_p are approximately proportional to sqrt(x_1), . . ., sqrt(x_p) so that pΣi=1 (y^2)_i=1. In order to apply the statistical criterion of maxime likelihood (assuming equal costs of misclassification and equal a priori probabilities), it is necessary to make reasonable assumptions as to the mathematical form of the probability distributions 0_g(x) or 0_g(y) in the population pi_g, g=1, . . ., m, where x and y represent the sets of p variables, Certain conditions of formal symmetry are set up for 0_g(x) or 0_g(y), along with requirements derived from observed data that variances should be smallest for means close to zero or 1, and that provision should be made for positive probability that x_i=zero. These conditions combine to rule out the usual normal model, with the same covariance matric in all populations, which leads to the linear discriminant function. [TRUNCATED]
    Description
    Thesis (Ph.D.)--Boston University
    Rights
    Based on investigation of the BU Libraries' staff, this work is free of known copyright restrictions.
    Collections
    • Dissertations and Theses (pre-1964) [13049]


    Boston University
    Contact Us | Send Feedback | Help
     

     

    Browse

    All of OpenBUCommunities & CollectionsIssue DateAuthorsTitlesSubjectsThis CollectionIssue DateAuthorsTitlesSubjects

    Deposit Materials

    LoginNon-BU Registration

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Boston University
    Contact Us | Send Feedback | Help