此次,高顿小编为大家带来了统计的概念和市场回报讲解分析:
PartⅠ:Statistical Concepts and Market Returns
Descriptive Statistics & Inferential Statistics
Population & Sample
Types of Measurement Scales
·Nominal Scales
·Ordinal Scales
·Interval Scales
·Ratio Scales
Frequency Distribution
·Absolute frequency & Relative frequency
·Cumulative frequency
·Histogram & Frequency polygon
Measures of Central Tendency
·Mean;Arithmetic mean;Geometric mean;Weighted mean;Harmonic mean;
·Harmonic mean≦geometric mean≦arithmetic mean
·Populatin mean(μ)and sample mean(χ)
·Median and Mode
Quantiles
·Median;Quartiles;Quintile;Decile;Percentile
·if n*percentile is a whole number,Ly=n*y/100
Measures of Dispersion
·Range=maximum value-minimum value
·Mean absolute deviation
·Variance—Population variance & Sample variance
·Standard Deviation:σ S
·Semivariance & Target Semivariance
Relative Disperision
·Coefficient of variation:relative disperision:CV=s/X
·Sharp Ratio=(R-Rf)/ σ
Chebyshev’s Inequality
·对于任意一组观测值,个体落于均值周围k个标准差之内的概率不小于1-1/k2,其中任意k﹥1.
Skewness
·Symmetrical and nonsymmetrical distributions
·
·Positively skewed and negatively skewed
Kurtosis
·Excess kurtosis is measured relative to a normal distribution,which has a kurtosis of 3,Excess kurtosis=sample kurtosis-3
·Positive values of excess kurtosis and Negative values of excess kurtosis
·0 excess kurtosis indicate mesokurtic distribution
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