ALL CHAPTERS IN
MATHEMATICAL STATISTICS I
CHAPTER 1 INTRODUCTION
Counting rules.
Sigma Notation.
Factorial Notation
Newton Binomium
Multiplication In
Counting Rules
Permutation
Cycle permutation
Permutation with same
elements
Combination
CHAPTER 2 PROBABILITY
Experiment, Sample space,
and Event
Definition of probability:
Probability Complement.
Probability of union of
two events or more
Conditional Probability
Probability of mutual
exclusive events
Probability of stochastic
events
Bayes Theorem
CHAPTER 3 RANDOM
VARIABLES AND PROBABILITY DENSITY FUNCTION
CHAPTER 4 EXPECTED VALUES
AND MOMENT GENERATING FUNCTION
Expected values
Usage of Expected values
Moment generating
function
Chebysev Equation
CHAPTER 5 DISCRETE RANDOM
VARIABLES DISTRIBUTIONS
Bernoulli distribution
Binomial distribution
Hypergeometric
distribution
Geometric distribution.
Negative Binomial distribution
Poisson distribution
CHAPTER 6 CONTINUOUS
RANDOM VARIABLES DISTRIBUTIONS
Normal (Gaussian)
distribution
Gamma distribution
Chi-Square distribution
Exponential distribution
Weibull distribution
Pareto distribution
Uniform distribution
CHAPTER 7 JOINT AND
MARGINAL DISTRIBUTION, CORRELATION COEFFICIENT
CHAPTER 8 RANDOM
VARIABLES TRANSFORMATION
CHAPTER 9 SAMPLING
DISTRIBUTIONS
SEMUA BAB DI STATISTIKA MATEMATIS I
BAB 1 INTRODUCTION
Kaidah Pencacahan.
Notasi sigma.
Notasi Faktorial.
Binom Newton.
Aturan Perkalian.
Permutasi.
Permutasi Siklis.
Permutasi dengan Beberapa Unsur Sama.
Kombinasi.
BAB 2 PROBABILITY
Percobaan, Ruang Sampel, dan Kejadian.
Definisi Peluang:
Komplement Peluang.
Peluang gabungan dua kejadian.
Peluang dua kejadian bersyarat (peluang bersyarat).
Peluang dua kejadian saling bebas.
Peluang dua kejadian saling lepas.
Dalil bayes.
BAB 3 RANDOM VARIABLES AND PROBABILITY DENSITY FUNCTION
Variabel random.
Fungsi kepadatan peluang.
BAB 4 EXPECTED VALUES AND MOMENT GENERATING FUNCTION
Ekspektasi matematis.
Kegunaan ekspektasi matematis.
Fungsi pembangkit momen.
Ketidaksamaan Chebysev.
BAB 5 DISTRIBUSI PEUBAH ACAK DISKRIT
Distribusi bernoulli.
Distribusi binomial.
Distribusi hipergeometrik.
Distribusi geometrik.
Distribusi binomial negatif.
Distribusi poisson.
BAB 6 DISTRIBUSI PEUBAH ACAK KONTINU.
Distribusi normal (Gaussian).
Distribusi gamma.
Distribusi chi-kuadrat.
Distribusi Eksponensial.
Distribusi Weibull.
Distribusi Pareto.
Distribusi Seragam.
BAB 7 DISTRIBUSI BERSAMA, BERSYRAT DAN KOEFISIEN KORELASI
BAB 8 TRANSFORMASI PEUBAH ACAK
BAB 7 DISTRIBUSI SAMPLING
