TABLE 2 Open in new tab Simulation...

	Bias $\times 100$	SE $\times 100$	$\hat{SE} \times 100$	ECP	ROUND
$n = 100$
100	0.063	3.656	3.237	3.437	3.237	3.505	0.951	0.820	1.892	8.669
200	0.042	3.649	2.329	2.478	2.365	2.555	0.951	0.711	1.934	8.673
300	0.035	3.594	1.947	2.085	1.989	2.148	0.955	0.634	1.910	8.671
400	0.033	3.599	1.720	1.839	1.770	1.910	0.959	0.571	1.907	8.671
500	0.031	3.597	1.564	1.667	1.625	1.754	0.959	0.524	1.907	8.671
1000	0.033	3.593	1.222	1.294	1.286	1.387	0.960	0.426	1.893	8.670
$n = 200$
100	0.039	1.275	2.096	2.138	2.103	2.167	0.950	0.912	1.884	8.326
200	0.034	1.241	1.555	1.584	1.575	1.622	0.957	0.879	1.892	8.323
300	0.030	1.234	1.315	1.337	1.353	1.393	0.958	0.856	1.927	8.322
400	0.026	1.241	1.194	1.214	1.226	1.262	0.961	0.834	1.962	8.323
500	0.026	1.241	1.115	1.135	1.143	1.176	0.960	0.816	2.043	8.322
1000	0.023	1.239	0.923	0.936	0.956	0.984	0.958	0.765	1.895	8.321
$n = 400$
100	0.038	0.485	1.466	1.476	1.470	1.489	0.947	0.932	1.884	8.153
200	0.035	0.485	1.131	1.137	1.145	1.160	0.956	0.932	1.892	8.153
300	0.032	0.498	1.006	1.012	1.013	1.026	0.953	0.920	1.903	8.153
400	0.034	0.485	0.935	0.939	0.940	0.952	0.951	0.915	1.906	8.153
500	0.032	0.488	0.882	0.886	0.894	0.905	0.953	0.917	1.891	8.152
1000	0.026	0.486	0.769	0.772	0.792	0.802	0.954	0.910	1.902	8.152

Bias

\times 100

\times 100

\hat{SE} \times 100

ECP

ROUND

K

SOS

n = 100

100

0.063

3.656

3.237

3.437

3.237

3.505

0.951

0.820

1.892

8.669

200

0.042

3.649

2.329

2.478

2.365

2.555

0.951

0.711

1.934

8.673

300

0.035

3.594

1.947

2.085

1.989

2.148

0.955

0.634

1.910

8.671

400

0.033

3.599

1.720

1.839

1.770

1.910

0.959

0.571

1.907

8.671

500

0.031

3.597

1.564

1.667

1.625

1.754

0.959

0.524

1.907

8.671

1000

0.033

3.593

1.222

1.294

1.286

1.387

0.960

0.426

1.893

8.670

n = 200

100

0.039

1.275

2.096

2.138

2.103

2.167

0.950

0.912

1.884

8.326

200

0.034

1.241

1.555

1.584

1.575

1.622

0.957

0.879

1.892

8.323

300

0.030

1.234

1.315

1.337

1.353

1.393

0.958

0.856

1.927

8.322

400

0.026

1.241

1.194

1.214

1.226

1.262

0.961

0.834

1.962

8.323

500

0.026

1.241

1.115

1.135

1.143

1.176

0.960

0.816

2.043

8.322

1000

0.023

1.239

0.923

0.936

0.956

0.984

0.958

0.765

1.895

8.321

n = 400

100

0.038

0.485

1.466

1.476

1.470

1.489

0.947

0.932

1.884

8.153

200

0.035

0.485

1.131

1.137

1.145

1.160

0.956

0.932

1.892

8.153

300

0.032

0.498

1.006

1.012

1.013

1.026

0.953

0.920

1.903

8.153

400

0.034

0.485

0.935

0.939

0.940

0.952

0.951

0.915

1.906

8.153

500

0.032

0.488

0.882

0.886

0.894

0.905

0.953

0.917

1.891

8.152

1000

0.026

0.486

0.769

0.772

0.792

0.802

0.954

0.910

1.902

8.152

	Bias $\times 100$	SE $\times 100$	$\hat{SE} \times 100$	ECP	ROUND
$n = 100$
100	0.063	3.656	3.237	3.437	3.237	3.505	0.951	0.820	1.892	8.669
200	0.042	3.649	2.329	2.478	2.365	2.555	0.951	0.711	1.934	8.673
300	0.035	3.594	1.947	2.085	1.989	2.148	0.955	0.634	1.910	8.671
400	0.033	3.599	1.720	1.839	1.770	1.910	0.959	0.571	1.907	8.671
500	0.031	3.597	1.564	1.667	1.625	1.754	0.959	0.524	1.907	8.671
1000	0.033	3.593	1.222	1.294	1.286	1.387	0.960	0.426	1.893	8.670
$n = 200$
100	0.039	1.275	2.096	2.138	2.103	2.167	0.950	0.912	1.884	8.326
200	0.034	1.241	1.555	1.584	1.575	1.622	0.957	0.879	1.892	8.323
300	0.030	1.234	1.315	1.337	1.353	1.393	0.958	0.856	1.927	8.322
400	0.026	1.241	1.194	1.214	1.226	1.262	0.961	0.834	1.962	8.323
500	0.026	1.241	1.115	1.135	1.143	1.176	0.960	0.816	2.043	8.322
1000	0.023	1.239	0.923	0.936	0.956	0.984	0.958	0.765	1.895	8.321
$n = 400$
100	0.038	0.485	1.466	1.476	1.470	1.489	0.947	0.932	1.884	8.153
200	0.035	0.485	1.131	1.137	1.145	1.160	0.956	0.932	1.892	8.153
300	0.032	0.498	1.006	1.012	1.013	1.026	0.953	0.920	1.903	8.153
400	0.034	0.485	0.935	0.939	0.940	0.952	0.951	0.915	1.906	8.153
500	0.032	0.488	0.882	0.886	0.894	0.905	0.953	0.917	1.891	8.152
1000	0.026	0.486	0.769	0.772	0.792	0.802	0.954	0.910	1.902	8.152

TABLE 2

Open in new tab

Simulation results for estimation performance under Poisson regression

	Bias $\times 100$		SE $\times 100$		$\hat{SE} \times 100$		ECP		ROUND
$K$	SOS	OS	SOS	OS	SOS	OS	SOS	OS	SOS	OS
$n = 100$
100	0.063	3.656	3.237	3.437	3.237	3.505	0.951	0.820	1.892	8.669
200	0.042	3.649	2.329	2.478	2.365	2.555	0.951	0.711	1.934	8.673
300	0.035	3.594	1.947	2.085	1.989	2.148	0.955	0.634	1.910	8.671
400	0.033	3.599	1.720	1.839	1.770	1.910	0.959	0.571	1.907	8.671
500	0.031	3.597	1.564	1.667	1.625	1.754	0.959	0.524	1.907	8.671
1000	0.033	3.593	1.222	1.294	1.286	1.387	0.960	0.426	1.893	8.670
$n = 200$
100	0.039	1.275	2.096	2.138	2.103	2.167	0.950	0.912	1.884	8.326
200	0.034	1.241	1.555	1.584	1.575	1.622	0.957	0.879	1.892	8.323
300	0.030	1.234	1.315	1.337	1.353	1.393	0.958	0.856	1.927	8.322
400	0.026	1.241	1.194	1.214	1.226	1.262	0.961	0.834	1.962	8.323
500	0.026	1.241	1.115	1.135	1.143	1.176	0.960	0.816	2.043	8.322
1000	0.023	1.239	0.923	0.936	0.956	0.984	0.958	0.765	1.895	8.321
$n = 400$
100	0.038	0.485	1.466	1.476	1.470	1.489	0.947	0.932	1.884	8.153
200	0.035	0.485	1.131	1.137	1.145	1.160	0.956	0.932	1.892	8.153
300	0.032	0.498	1.006	1.012	1.013	1.026	0.953	0.920	1.903	8.153
400	0.034	0.485	0.935	0.939	0.940	0.952	0.951	0.915	1.906	8.153
500	0.032	0.488	0.882	0.886	0.894	0.905	0.953	0.917	1.891	8.152
1000	0.026	0.486	0.769	0.772	0.792	0.802	0.954	0.910	1.902	8.152

	Bias $\times 100$		SE $\times 100$		$\hat{SE} \times 100$		ECP		ROUND
$K$	SOS	OS	SOS	OS	SOS	OS	SOS	OS	SOS	OS
$n = 100$
100	0.063	3.656	3.237	3.437	3.237	3.505	0.951	0.820	1.892	8.669
200	0.042	3.649	2.329	2.478	2.365	2.555	0.951	0.711	1.934	8.673
300	0.035	3.594	1.947	2.085	1.989	2.148	0.955	0.634	1.910	8.671
400	0.033	3.599	1.720	1.839	1.770	1.910	0.959	0.571	1.907	8.671
500	0.031	3.597	1.564	1.667	1.625	1.754	0.959	0.524	1.907	8.671
1000	0.033	3.593	1.222	1.294	1.286	1.387	0.960	0.426	1.893	8.670
$n = 200$
100	0.039	1.275	2.096	2.138	2.103	2.167	0.950	0.912	1.884	8.326
200	0.034	1.241	1.555	1.584	1.575	1.622	0.957	0.879	1.892	8.323
300	0.030	1.234	1.315	1.337	1.353	1.393	0.958	0.856	1.927	8.322
400	0.026	1.241	1.194	1.214	1.226	1.262	0.961	0.834	1.962	8.323
500	0.026	1.241	1.115	1.135	1.143	1.176	0.960	0.816	2.043	8.322
1000	0.023	1.239	0.923	0.936	0.956	0.984	0.958	0.765	1.895	8.321
$n = 400$
100	0.038	0.485	1.466	1.476	1.470	1.489	0.947	0.932	1.884	8.153
200	0.035	0.485	1.131	1.137	1.145	1.160	0.956	0.932	1.892	8.153
300	0.032	0.498	1.006	1.012	1.013	1.026	0.953	0.920	1.903	8.153
400	0.034	0.485	0.935	0.939	0.940	0.952	0.951	0.915	1.906	8.153
500	0.032	0.488	0.882	0.886	0.894	0.905	0.953	0.917	1.891	8.152
1000	0.026	0.486	0.769	0.772	0.792	0.802	0.954	0.910	1.902	8.152

Notes: The bias, SE, $\hat{SE}$ ⁠, and ECP are reported for the sequential one-step (SOS) and one-shot (OS) estimators, respectively. The average Newton–Raphson rounds (representing the computational time) of the two estimators are also reported.

This Feature Is Available To Subscribers Only