Citation Analysis – On Efficient Inference of Causal Effects \\with Multiple Mediators

On Efficient Inference of Causal Effects \\with Multiple Mediators
Haoyu Wei, Hengrui Cai, Chengchun Shi, Rui Song
https://arxiv.org/abs/2401.05517

163

Citation mentions

Cited references

Sections

9,870

Words (approx)

References by Citation Intensity

Ordered by composite index (descending). Higher values indicate more intensive citation.

#	Reference	Year	Mentions	Breadth	Sec. Wtd	Share	Composite	Main %
1	Pearl, J	2000	5	5	7.5	0.031	0.928	80%
2	Chakrabortty, A., P. Nandy, and H. Li	2018	15	9	22.5	0.092	0.928	80%
3	Tchetgen, E. J. T. and I. Shpitser	2012	7	4	9.0	0.043	0.894	71%
4	Spirtes, P., C. Glymour, R. Scheines, S. Kauffman,...	2000	3	3	5.0	0.018	0.843	100%
5	Harris, N. and M. Drton	2013	4	4	6.5	0.025	0.843	75%
6	Cai, H., R. Song, and W. Lu (self)	2020	9	5	11.0	0.055	0.822	56%
7	Pearl, J. et al	2009	4	2	7.0	0.025	0.811	100%
8	Nandy, P., A. Hauser, and M. H. Maathuis	2018	3	2	4.0	0.018	0.737	100%
9	Xia, F. and K. C. G. Chan	2023	3	2	4.0	0.018	0.737	100%
10	Nandy, P., M. H. Maathuis, T. S. Richardson, et al	2017	4	3	4.0	0.025	0.737	50%
11	Bickel, P. J. and J. Kwon	2001	3	2	4.0	0.018	0.737	100%
12	Chickering, D. M	2002	2	2	3.0	0.012	0.644	100%
13	Lin, S.-H. and T. VanderWeele	2017	2	2	3.0	0.012	0.644	100%
14	Tchetgen Tchetgen, E. J	2013	2	2	3.0	0.012	0.644	100%
15	Kennedy, E. H., Z. Ma, M. D. McHugh, and D. S. Sma...	2017	2	2	3.0	0.012	0.644	100%
16	Maathuis, M. H., M. Kalisch, P. Buhlmann, et al	2009	2	2	3.0	0.012	0.644	100%
17	Kang, J. D. and J. L. Schafer	2007	2	2	4.0	0.012	0.644	100%
18	Watson, R. A., H. Cai, X. An, S. McLean, and R. So... (self)	2023	3	2	4.5	0.018	0.644	67%
19	Hasan, U., E. Hossain, and M. O. Gani	2023	3	1	6.0	0.018	0.585	100%
20	VanderWeele, T. and S. Vansteelandt	2014	2	1	2.0	0.012	0.511	100%
21	Chen, L., C. Li, X. Shen, and W. Pan	2023	2	1	2.0	0.012	0.511	100%
22	Bang, H. and J. M. Robins	2005	2	1	2.0	0.012	0.511	100%
23	Van Der Vaart, A. W., J. A. Wellner, A. W. van der...	1996	2	2	1.5	0.012	0.511	50%
24	Kalisch, M. and P. Buhlmann	2007	2	1	4.0	0.012	0.511	100%
25	Hall, P	1988	2	1	4.0	0.012	0.511	100%
26	Portnoy, S	1985	2	1	4.0	0.012	0.511	100%
27	Van de Geer, S., P. Buhlmann, Y. Ritov, and R. Dez...	2014	2	2	2.5	0.012	0.511	50%
28	Chernozhukov, V., D. Chetverikov, and K. Kato	2014	3	2	3.0	0.018	0.511	33%
29	Hernan, M. A	2004	1	1	1.0	0.006	0.406	100%
30	Hernan, M. A., B. Brumback, and J. M. Robins	2000	1	1	1.0	0.006	0.406	100%
31	Card, D	1999	1	1	1.0	0.006	0.406	100%
32	Panizza, U. and A. F. Presbitero	2014	1	1	1.0	0.006	0.406	100%
33	Pearl, J	2012	1	1	1.0	0.006	0.406	100%
34	Pearl, J	2014	1	1	1.0	0.006	0.406	100%
35	Robins, J. M. and S. Greenland	1992	1	1	1.0	0.006	0.406	100%
36	Petersen, M. L., S. E. Sinisi, and M. J. van der L...	2006	1	1	1.0	0.006	0.406	100%
37	Imai, K., L. Keele, and D. Tingley	2010	1	1	1.0	0.006	0.406	100%
38	VanderWeele, T	2015	1	1	1.0	0.006	0.406	100%
39	Shi, C. and L. Li (self)	2021	1	1	1.0	0.006	0.406	100%
40	Li, C., X. Shen, and W. Pan	2019	1	1	1.0	0.006	0.406	100%
41	Yuan, Y., X. Shen, W. Pan, and Z. Wang	2019	1	1	1.0	0.006	0.406	100%
42	Li, C., X. Shen, and W. Pan	2023	1	1	1.0	0.006	0.406	100%
43	Shimizu, S., P. O. Hoyer, A. Hyvarinen, and A. Ker...	2006	1	1	1.0	0.006	0.406	100%
44	Neal, B	2020	1	1	1.0	0.006	0.406	100%
45	VanderWeele, T. J. and W. R. Robinson	2014	1	1	1.0	0.006	0.406	100%
46	VanderWeele, T. J., J. W. Jackson, and S. Li	2016	1	1	1.0	0.006	0.406	100%
47	An, W. and T. J. VanderWeele	2022	1	1	1.0	0.006	0.406	100%
48	Brand, J. E., X. Zhou, and Y. Xie	2023	1	1	1.0	0.006	0.406	100%
49	Wang, L. and E. Tchetgen Tchetgen	2018	1	1	1.0	0.006	0.406	100%
50	Preacher, K. J. and A. F. Hayes	2008	1	1	1.0	0.006	0.406	100%
51	Boca, S. M., R. Sinha, A. J. Cross, S. C. Moore, a...	2014	1	1	1.0	0.006	0.406	100%
52	Zhang, H., Y. Zheng, Z. Zhang, T. Gao, B. Joyce, G...	2016	1	1	1.0	0.006	0.406	100%
53	Huang, Y.-T. and W.-C. Pan	2016	1	1	1.0	0.006	0.406	100%
54	Guo, X., R. Li, J. Liu, and M. Zeng	2023	1	1	1.0	0.006	0.406	100%
55	Yuan, Y. and A. Qu	2023	1	1	1.0	0.006	0.406	100%
56	Zhao, Y., L. Li, and A. D. N. Initiative	2022	1	1	1.0	0.006	0.406	100%
57	Zhao, Y. and X. Luo	2022	1	1	1.0	0.006	0.406	100%
58	Daniel, R. M., B. L. De Stavola, S. N. Cousens, an...	2015	1	1	1.0	0.006	0.406	100%
59	Kim, C., M. J. Daniels, J. W. Hogan, C. Choirat, a...	2019	1	1	1.0	0.006	0.406	100%
60	Tai, A.-S., P.-H. Lin, Y.-T. Huang, and S.-H. Lin	2022	1	1	1.0	0.006	0.406	100%
61	Steen, J., T. Loeys, B. Moerkerke, and S. Vansteel...	2017	1	1	1.0	0.006	0.406	100%
62	Park, S. and E. Kurum	2018	1	1	1.0	0.006	0.406	100%
63	Scharfstein, D. O., A. Rotnitzky, and J. M. Robins	1999	1	1	1.0	0.006	0.406	100%
64	Goetgeluk, S., S. Vansteelandt, and E. Goetghebeur	2008	1	1	1.0	0.006	0.406	100%
65	Chan, K. C. G., S. C. P. Yam, and Z. Zhang	2016	1	1	1.0	0.006	0.406	100%
66	Bhattacharya, R., R. Nabi, and I. Shpitser	2022	1	1	1.0	0.006	0.406	100%
67	Van Der Laan, M. J. and D. Rubin	2006	1	1	1.0	0.006	0.406	100%
68	Albert, J. M. and S. Nelson	2011	1	1	2.0	0.006	0.406	100%
69	Lee, S. and V. Honavar	2020	1	1	2.0	0.006	0.406	100%
70	Assaad, C. K., E. Devijver, and E. Gaussier	2022	1	1	2.0	0.006	0.406	100%
71	Zhang, J. and E. Bareinboim	2018	1	1	2.0	0.006	0.406	100%
72	Vansteelandt, S. and R. M. Daniel	2017	1	1	2.0	0.006	0.406	100%
73	Shi, X., W. Miao, J. C. Nelson, and E. J. Tchetgen... (self)	2020	1	1	2.0	0.006	0.406	100%
74	Shi, C. and L. Li (self)	2022	1	1	2.0	0.006	0.406	100%
75	Boos, D. D. and L. A. Stefanski	2013	1	1	2.0	0.006	0.406	100%
76	Heckman, J. J	1976	1	1	2.0	0.006	0.406	100%
77	Sun, Q., W.-X. Zhou, and J. Fan	2020	1	1	2.0	0.006	0.406	100%
78	Chinot, G., G. Lecue, and M. Lerasle	2020	1	1	2.0	0.006	0.406	100%
79	Portnoy, S	1984	1	1	2.0	0.006	0.406	100%
80	Wainwright, M. J	2019	1	1	2.0	0.006	0.406	100%
81	Zhang, C.-H. and S. S. Zhang	2014	1	1	2.0	0.006	0.406	100%
82	Laan, M. J. and J. M. Robins	2003	1	1	2.0	0.006	0.406	100%
83	Tsiatis, A. A	2006	1	1	2.0	0.006	0.406	100%
84	Fan, J. and Q. Yao	2003	1	1	2.0	0.006	0.406	100%
85	Wager, S. and S. Athey	2018	1	1	2.0	0.006	0.406	100%
86	Schmidt-Hieber, J	2020	1	1	2.0	0.006	0.406	100%
87	Cai, H., C. Shi, R. Song, and W. Lu (self)	2021	1	1	2.0	0.006	0.406	100%
88	D\'\iaz, I. and M. J. van der Laan	2013	1	1	2.0	0.006	0.406	100%
89	Kennedy, E., S. Balakrishnan, and L. Wasserman	2023	1	1	2.0	0.006	0.406	100%
90	Deng, H., Q. Han, and C.-H. Zhang	2021	1	1	2.0	0.006	0.406	100%
91	Xu, M. and R. J. Samworth	2021	1	1	2.0	0.006	0.406	100%
92	Rodr\'\iguez-Casal, A. and P. Saavedra-Nieves	2022	1	1	2.0	0.006	0.406	100%
93	Kuroki, M. and M. Miyakawa	1999	1	1	0.5	0.006	0.087	0%
94	Yu, Y., J. Chen, T. Gao, and M. Yu	2019	1	1	0.5	0.006	0.087	0%

Reference

Year

Mentions

Breadth

Sec. Wtd

Composite

Main %

Pearl, J

2000

7.5

0.031

0.928

80%

Chakrabortty, A., P. Nandy, and H. Li

2018

22.5

0.092

0.928

80%

Tchetgen, E. J. T. and I. Shpitser

2012

9.0

0.043

0.894

71%

Spirtes, P., C. Glymour, R. Scheines, S. Kauffman,...

2000

5.0

0.018

0.843

100%

Harris, N. and M. Drton

2013

6.5

0.025

0.843

75%

Cai, H., R. Song, and W. Lu (self)

2020

11.0

0.055

0.822

56%

Pearl, J. et al

2009

7.0

0.025

0.811

100%

Nandy, P., A. Hauser, and M. H. Maathuis

2018

4.0

0.018

0.737

100%

Xia, F. and K. C. G. Chan

2023

4.0

0.018

0.737

100%

Nandy, P., M. H. Maathuis, T. S. Richardson, et al

2017

4.0

0.025

0.737

50%

Bickel, P. J. and J. Kwon

2001

4.0

0.018

0.737

100%

Chickering, D. M

2002

3.0

0.012

0.644

100%

Lin, S.-H. and T. VanderWeele

2017

3.0

0.012

0.644

100%

Tchetgen Tchetgen, E. J

2013

3.0

0.012

0.644

100%

Kennedy, E. H., Z. Ma, M. D. McHugh, and D. S. Sma...

2017

3.0

0.012

0.644

100%

Maathuis, M. H., M. Kalisch, P. Buhlmann, et al

2009

3.0

0.012

0.644

100%

Kang, J. D. and J. L. Schafer

2007

4.0

0.012

0.644

100%

Watson, R. A., H. Cai, X. An, S. McLean, and R. So... (self)

2023

4.5

0.018

0.644

67%

Hasan, U., E. Hossain, and M. O. Gani

2023

6.0

0.018

0.585

100%

VanderWeele, T. and S. Vansteelandt

2014

2.0

0.012

0.511

100%

Chen, L., C. Li, X. Shen, and W. Pan

2023

2.0

0.012

0.511

100%

Bang, H. and J. M. Robins

2005

2.0

0.012

0.511

100%

Van Der Vaart, A. W., J. A. Wellner, A. W. van der...

1996

1.5

0.012

0.511

50%

Kalisch, M. and P. Buhlmann

2007

4.0

0.012

0.511

100%

Hall, P

1988

4.0

0.012

0.511

100%

Portnoy, S

1985

4.0

0.012

0.511

100%

Van de Geer, S., P. Buhlmann, Y. Ritov, and R. Dez...

2014

2.5

0.012

0.511

50%

Chernozhukov, V., D. Chetverikov, and K. Kato

2014

3.0

0.018

0.511

33%

Hernan, M. A

2004

1.0

0.006

0.406

100%

Hernan, M. A., B. Brumback, and J. M. Robins

2000

1.0

0.006

0.406

100%

Card, D

1999

1.0

0.006

0.406

100%

Panizza, U. and A. F. Presbitero

2014

1.0

0.006

0.406

100%

Pearl, J

2012

1.0

0.006

0.406

100%

Pearl, J

2014

1.0

0.006

0.406

100%

Robins, J. M. and S. Greenland

1992

1.0

0.006

0.406

100%

Petersen, M. L., S. E. Sinisi, and M. J. van der L...

2006

1.0

0.006

0.406

100%

Imai, K., L. Keele, and D. Tingley

2010

1.0

0.006

0.406

100%

VanderWeele, T

2015

1.0

0.006

0.406

100%

Shi, C. and L. Li (self)

2021

1.0

0.006

0.406

100%

Li, C., X. Shen, and W. Pan

2019

1.0

0.006

0.406

100%

Yuan, Y., X. Shen, W. Pan, and Z. Wang

2019

1.0

0.006

0.406

100%

Li, C., X. Shen, and W. Pan

2023

1.0

0.006

0.406

100%

Shimizu, S., P. O. Hoyer, A. Hyvarinen, and A. Ker...

2006

1.0

0.006

0.406

100%

Neal, B

2020

1.0

0.006

0.406

100%

VanderWeele, T. J. and W. R. Robinson

2014

1.0

0.006

0.406

100%

VanderWeele, T. J., J. W. Jackson, and S. Li

2016

1.0

0.006

0.406

100%

An, W. and T. J. VanderWeele

2022

1.0

0.006

0.406

100%

Brand, J. E., X. Zhou, and Y. Xie

2023

1.0

0.006

0.406

100%

Wang, L. and E. Tchetgen Tchetgen

2018

1.0

0.006

0.406

100%

Preacher, K. J. and A. F. Hayes

2008

1.0

0.006

0.406

100%

Boca, S. M., R. Sinha, A. J. Cross, S. C. Moore, a...

2014

1.0

0.006

0.406

100%

Zhang, H., Y. Zheng, Z. Zhang, T. Gao, B. Joyce, G...

2016

1.0

0.006

0.406

100%

Huang, Y.-T. and W.-C. Pan

2016

1.0

0.006

0.406

100%

Guo, X., R. Li, J. Liu, and M. Zeng

2023

1.0

0.006

0.406

100%

Yuan, Y. and A. Qu

2023

1.0

0.006

0.406

100%

Zhao, Y., L. Li, and A. D. N. Initiative

2022

1.0

0.006

0.406

100%

Zhao, Y. and X. Luo

2022

1.0

0.006

0.406

100%

Daniel, R. M., B. L. De Stavola, S. N. Cousens, an...

2015

1.0

0.006

0.406

100%

Kim, C., M. J. Daniels, J. W. Hogan, C. Choirat, a...

2019

1.0

0.006

0.406

100%

Tai, A.-S., P.-H. Lin, Y.-T. Huang, and S.-H. Lin

2022

1.0

0.006

0.406

100%

Steen, J., T. Loeys, B. Moerkerke, and S. Vansteel...

2017

1.0

0.006

0.406

100%

Park, S. and E. Kurum

2018

1.0

0.006

0.406

100%

Scharfstein, D. O., A. Rotnitzky, and J. M. Robins

1999

1.0

0.006

0.406

100%

Goetgeluk, S., S. Vansteelandt, and E. Goetghebeur

2008

1.0

0.006

0.406

100%

Chan, K. C. G., S. C. P. Yam, and Z. Zhang

2016

1.0

0.006

0.406

100%

Bhattacharya, R., R. Nabi, and I. Shpitser

2022

1.0

0.006

0.406

100%

Van Der Laan, M. J. and D. Rubin

2006

1.0

0.006

0.406

100%

Albert, J. M. and S. Nelson

2011

2.0

0.006

0.406

100%

Lee, S. and V. Honavar

2020

2.0

0.006

0.406

100%

Assaad, C. K., E. Devijver, and E. Gaussier

2022

2.0

0.006

0.406

100%

Zhang, J. and E. Bareinboim

2018

2.0

0.006

0.406

100%

Vansteelandt, S. and R. M. Daniel

2017

2.0

0.006

0.406

100%

Shi, X., W. Miao, J. C. Nelson, and E. J. Tchetgen... (self)

2020

2.0

0.006

0.406

100%

Shi, C. and L. Li (self)

2022

2.0

0.006

0.406

100%

Boos, D. D. and L. A. Stefanski

2013

2.0

0.006

0.406

100%

Heckman, J. J

1976

2.0

0.006

0.406

100%

Sun, Q., W.-X. Zhou, and J. Fan

2020

2.0

0.006

0.406

100%

Chinot, G., G. Lecue, and M. Lerasle

2020

2.0

0.006

0.406

100%

Portnoy, S

1984

2.0

0.006

0.406

100%

Wainwright, M. J

2019

2.0

0.006

0.406

100%

Zhang, C.-H. and S. S. Zhang

2014

2.0

0.006

0.406

100%

Laan, M. J. and J. M. Robins

2003

2.0

0.006

0.406

100%

Tsiatis, A. A

2006

2.0

0.006

0.406

100%

Fan, J. and Q. Yao

2003

2.0

0.006

0.406

100%

Wager, S. and S. Athey

2018

2.0

0.006

0.406

100%

Schmidt-Hieber, J

2020

2.0

0.006

0.406

100%

Cai, H., C. Shi, R. Song, and W. Lu (self)

2021

2.0

0.006

0.406

100%

D\'\iaz, I. and M. J. van der Laan

2013

2.0

0.006

0.406

100%

Kennedy, E., S. Balakrishnan, and L. Wasserman

2023

2.0

0.006

0.406

100%

Deng, H., Q. Han, and C.-H. Zhang

2021

2.0

0.006

0.406

100%

Xu, M. and R. J. Samworth

2021

2.0

0.006

0.406

100%

Rodr\'\iguez-Casal, A. and P. Saavedra-Nieves

2022

2.0

0.006

0.406

100%

Kuroki, M. and M. Miyakawa

1999

0.5

0.006

0.087

Yu, Y., J. Chen, T. Gao, and M. Yu

2019

0.5

0.006

0.087

Measures: Mentions = total in-text citations; Breadth = distinct sections; Sec. Wtd = section-weighted count (body ×2, lit review/appendix ×0.5); Share = mentions / total citations in paper; Composite = geometric mean of normalised count, breadth, and main-text ratio; Main % = fraction of mentions in main text (excl. appendix). (self) = self-citation.