Calculates the optimal price of assets (such as
airline flight seats, hotel room bookings) whose value
becomes zero after a fixed ``expiry date''.  Assumes
potential customers arrive (possibly in groups) according
to a known inhomogeneous Poisson process.  Also assumes a
known time-varying elasticity of demand (price sensitivity)
function.  Uses elementary techniques based on ordinary
differential equations.  Uses the package deSolve to effect
the solution of these differential equations.

Optimal Pricing of Assets with Fixed Expiry Date

Khalid B. Kunji [aut, cre], Mohamad Saad [aut]
c(person(given = "Khalid B.", family = "Kunji", role = c("aut",
"cre"), email = "kkunji@hbku.edu.qa"), person(given = "Mohamad",
family = "Saad", role = c("aut"), email = "msaad@hbku.edu.qa"))
When doing association analysis one does not always have the
genotypes for the control population.  In such cases it may be
necessary to fall back on frequency based tests using well known sources
for the frequencies in the control population, for instance, from the
1000 Genomes Project.  The Allele Frequency Comparison ('AssocAFC') package
performs multiple rare variant association analyses in both population and
family-based GWAS (Genome-Wide Association Study) designs. It includes
three score tests that are based on the difference of the sum of allele
frequencies between cases and controls.  Two of these tests, Wcorrected()
and Wqls(), are collapsing-based tests and suffer from having protective
and risk variants. The third test, afcSKAT(), is a score test that
overcomes the mix of SNP (Single-Nucleotide Polymorphism) effect
directions. For more details see
Saad M and Wijsman EM (2017) <doi:10.1093/bib/bbx107>.

Khalid B. Kunji [aut, cre],
Mohamad Saad [aut]

Lin Wang [aut],
Wei Zhang [aut],
Qizhai Li [aut],
Weicheng Zhu [ctb]
cluster, mvtnorm, combinat, fExtremes, R(>= 2.10.0)
Some procedures including EIGENSTRAT (a procedure for
detecting and correcting for population stratification through
searching for the eigenvectors in genetic association studies),
PCoC (a procedure for correcting for population stratification
through calculating the principal coordinates and the clustering
of the subjects), Tracy-Wisdom test (a procedure for detecting
the significant eigenvalues of a matrix), distance regression (a
procedure for detecting the association between a distance matrix
and some independent variants of interest), single-marker test (a
procedure for identifying the association between the genotype at
a biallelic marker and a trait using the Wald test or the Fisher
exact test), MAX3 (a procedure for testing for the association
between a single nucleotide polymorphism and a binary phenotype
using the maximum value of the three test statistics derived for
the recessive, additive, and dominant models), nonparametric trend
test (a procedure for testing for the association between a genetic
variant and a non-normal distributed quantitative trait based on the
nonparametric risk), and nonparametric MAX3 (a procedure for testing
for the association between a biallelic single nucleotide polymorphism
and a quantitative trait using the maximum value of the three
nonparametric trend tests derived for the recessive, additive, and
dominant models), which are commonly used in genetic association studies.
'AssociationTestWithCorrectPS.R' 'CalculateGapK.R'
'CalculateWAll.R' 'CalExpect.R' 'ChangeX.R' 'CorrMatNRTest.R'
'DR_main.R' 'EigenStrat_main.R' 'FindCNumRandom.R'
'MAX3_main.R' 'MAX3Sign.R' 'MDS.R' 'PCoC_main.R'
'ModifyNormalization.R' 'NMAX3_main.R' 'NPT_main.R'
'RhombusFormula.R' 'ScoreTest.R' 'SimilarityMatrix.R'
'SMT_main.R' 'Str2Num.R' 'TrendTest.R' 'TW_main.R'
'UniformSample.R' 'UniformTest.R' 'WaldTest.R'