Reference Values
	\({\ A.\ \ \tau}^{2}\) =		0.005
	B. \(\delta^{2}\ \)=		0.005
(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
Data	Data	Data	To Minimize C.	[((4)-(2))^2]/(3)	(4)-Prev,(4)	To Min. C.	[((7)- Prev.(7)))^2]/B.	[((7)-(6))^2]/A.
Top	Observed	Binomial-Based	Estimated		Observed		Normalized	Similar
Of Each	Frequencies	Variance	True Frequency	Normalized	Step-by-Step	Ghost	Ghost Trend	Squared Diff
Bucket	\[S_{i}\]	\[\sigma_{i}^{2}\]	\[p_{i}\]	Fit Error	Difference in p’s	Trend	Squared Diff	\(D_{i}\) from \(G_{i}\)
(Data)	(Data)	(Data)	(To Minimize \(C\))	\[{(p_{i} - S_{i})}^{2}/\sigma_{i}^{2}\]	\[D_{i} = p_{i} - p_{i - 1}\]	(To min. \(C.\))	\[{(G_{i} - G_{i - 1})}^{2}/\delta^{2}\]	\(\tau^{2}\) normalized
60,000,000	0.00120	35.664	0.0215	1.154E-05
62,000,000	0.00257	76.178	0.0223	5.116E-06	8.237E-04	8.211E-04		7.082E-12
64,000,000	0.00423	125.434	0.0231	2.848E-06	8.247E-04	8.202E-04	7.622E-13	2.001E-11
66,000,000	0.00667	197.051	0.0240	1.516E-06	8.194E-04	8.153E-04	2.361E-11	1.676E-11
68,000,000	0.01113	327.595	0.0248	5.669E-07	8.088E-04	7.984E-04	2.884E-10	1.097E-10
70,000,000	0.01637	479.036	0.0256	1.761E-07	7.895E-04	7.790E-04	3.738E-10	1.105E-10
72,000,000	0.02003	584.170	0.0263	6.733E-08	7.544E-04	7.548E-04	5.866E-10	1.211E-13
74,000,000	0.02823	816.392	0.0270	1.752E-09	7.327E-04	7.211E-04	1.136E-09	1.337E-10
76,000,000	0.03557	1020.681	0.0277	6.021E-08	6.898E-04	6.806E-04	1.643E-09	8.620E-11
78,000,000	0.04113	1173.618	0.0284	1.389E-07	6.362E-04	6.282E-04	2.741E-09	6.336E-11
				…
240,000,000	0.00020	5.950	0.0002	1.327E-10	1.639E-05	1.802E-05	1.950E-11	2.659E-12
242,000,000	0.00007	1.984	0.0002	1.435E-08	7.253E-06	8.141E-06	9.754E-11	7.873E-13
244,000,000	0.00017	4.959	0.0002	7.363E-10	-8.264E-06	-2.726E-06	1.181E-10	3.067E-11
246,000,000	0.00023	6.941	0.0002	8.163E-11	-1.756E-05	-1.790E-05	2.302E-10	1.136E-13
248,000,000	0.00030	8.924	0.0002	1.788E-09	-3.586E-05	-3.131E-05	1.800E-10	2.064E-11
250,000,000	0.00023	6.941	0.0001	1.371E-09	-3.789E-05	-3.332E-05	4.030E-12	2.085E-11
252,000,000	0.00013	3.967	0.0001	1.000E-10	-2.237E-05	-2.033E-05	1.687E-10	4.156E-12
254,000,000	0.00010	2.975	0.0001	1.503E-10	7.733E-06	-2.647E-06	3.128E-10	1.078E-10
256,000,000	0.00017	4.959	0.0001	2.022E-10	1.385E-05	2.570E-06	2.723E-11	1.273E-10
258,000,000	0.00027	7.933	0.0001	1.867E-09	9.954E-06	9.669E-06	5.039E-11	8.119E-14
Column Totals	0.99187			3.027E-05			4.544E-07	1.265E-08
	Adjustment Factors			1			2.000E+03	2.000E+03
				(no change)			(1/\(\delta^{2}\))	(1/\(\tau^{2}\))
	Final Components			3.027E-05			9.089E-04	2.530E-05
			C. Sum of All Components (Value to Minimize)			9.644E-04