/ / / Tab 1

Research Article

The Combined Poisson INMA() Models for Time Series of Counts

Table 1

Sample mean and mean square error (in brackets) for models A, B, and C.


Model	Sample size
Model	Parameter	50	100	400	700

A	ϕ₁	0.0781	0.0873	0.0925	0.0953
	ϕ₁	(0.0316)	(0.0084)	(0.0047)	(0.0017)
	ϕ₂	0.1658	0.1795	0.1867	0.1957
	ϕ₂	(0.0251)	(0.0193)	(0.0052)	(0.0035)
	θ	0.2433	0.2731	0.2875	0.2924
	θ	(0.0236)	(0.0074)	(0.0032)	(0.0021)
	λ	1.1372	1.1007	1.0285	1.0046
	λ	(0.1256)	(0.0632)	(0.0358)	(0.0067)

B	ϕ₁	0.2547	0.2871	0.2935	0.2977
	ϕ₁	(0.0412)	(0.0136)	(0.0087)	(0.0032)
	ϕ₂	0.3468	0.3726	0.3891	0.3964
	ϕ₂	(0.0308)	(0.0158)	(0.0072)	(0.0023)
	θ	0.4625	0.4789	0.4836	0.4976
	θ	(0.0217)	(0.0104)	(0.0044)	(0.0013)
	λ	3.5672	3.1741	3.0522	3.0075
	λ	(0.3265)	(0.2381)	(0.0943)	(0.0045)

C	ϕ₁	0.5648	0.5783	0.5867	0.5973
	ϕ₁	(0.0213)	(0.0151)	(0.0078)	(0.0024)
	ϕ₂	0.1732	0.1847	0.1907	0.1976
	ϕ₂	(0.0342)	(0.0153)	(0.0024)	(0.0005)
	θ	0.6347	0.6824	0.6947	0.6953
	θ	(0.0145)	(0.0083)	(0.0026)	(0.0011)
	λ	12.3627	10.6538	10.1486	10.0024
	λ	(1.0764)	(0.3105)	(0.0852)	(0.0053)

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.