By William Feller
Significant alterations during this variation contain the substitution of probabilistic arguments for combinatorial artifices, and the addition of recent sections on branching strategies, Markov chains, and the De Moivre-Laplace theorem.
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Additional resources for An Introduction to Probability Theory and Its Applications, Volume 2
The danger that awaits us on this path is multicollinearity, a condition in which independent variables used for prediction correlate with each other. Language variables rarely have random distribution. Morphology is related to syntax, syntax is related to semantics, semantics is related to morphology, and all of these variables are related to frequency. Thus, one of the variables in a multilevel profile is by necessity correlated to another variable within that profile. For example, the distribution of case endings is correlated with animacy, the distribution of semantic classes is correlated with frequency, the distribution of syntactic constructions is correlated with semantic classes, and so on.
1. Methodology of the study | 37 Fig. 4: Distribution of number of verbs with a fem:masc from 0 to 1 Once we have a fem:masc ratio for each verb it is possible to examine the distribution of ratios. 0 for the verb otvorit’sja ‘open’. In addition there are 51 verbs with a ratio of ∞ (verbs with no masculine past tense forms). The lowest available ratio is 0, and there are 46 verbs with this ratio. The data is skewed towards 0 (most of the verbs have a ratio between 0 and 1 and few verbs have a ratio more than 1).
4. e. the top 100 masculine verbs. It is important to note that this list includes only verbs that collocate with human subjects. For masculine verbs The top 100 masculine verbs | 41 the top 100 verbs collocating with humans are found in first 175 verbs, meaning that seventy-five verbs out of the first 175 are idiomatic verbs or verbs with predefined subjects. The top 100 masculine verbs can be divided into seven semantic classes as distributed in Table 12. “Role” refers to activities associated with men in society; “negatively evaluated behavior” refers to verbs of smoking, drinking, and gambling; “talk” denotes a class of verbs referring to participation in a dialogue; “physical” marks a class of actions that presuppose physical strength; “liturgical” denotes verbs used in liturgical texts; and the “gesture” class consists of verbs that name masculine gestures.